diff --git a/app/graphql/resolvers/full_path_resolver.rb b/app/graphql/resolvers/full_path_resolver.rb
index 0f1a64b6c58..972f318c806 100644
--- a/app/graphql/resolvers/full_path_resolver.rb
+++ b/app/graphql/resolvers/full_path_resolver.rb
@@ -7,14 +7,14 @@ module Resolvers
     prepended do
       argument :full_path, GraphQL::ID_TYPE,
                required: true,
-               description: 'The full path of the project or namespace, e.g., "gitlab-org/gitlab-ce"'
+               description: 'The full path of the project, group or namespace, e.g., "gitlab-org/gitlab-ce"'
     end
 
     def model_by_full_path(model, full_path)
       BatchLoader.for(full_path).batch(key: model) do |full_paths, loader, args|
         # `with_route` avoids an N+1 calculating full_path
-        args[:key].where_full_path_in(full_paths).with_route.each do |project|
-          loader.call(project.full_path, project)
+        args[:key].where_full_path_in(full_paths).with_route.each do |model_instance|
+          loader.call(model_instance.full_path, model_instance)
         end
       end
     end
diff --git a/app/graphql/resolvers/group_resolver.rb b/app/graphql/resolvers/group_resolver.rb
new file mode 100644
index 00000000000..4260e18829e
--- /dev/null
+++ b/app/graphql/resolvers/group_resolver.rb
@@ -0,0 +1,13 @@
+# frozen_string_literal: true
+
+module Resolvers
+  class GroupResolver < BaseResolver
+    prepend FullPathResolver
+
+    type Types::GroupType, null: true
+
+    def resolve(full_path:)
+      model_by_full_path(Group, full_path)
+    end
+  end
+end
diff --git a/app/graphql/types/group_type.rb b/app/graphql/types/group_type.rb
new file mode 100644
index 00000000000..a2d615ee732
--- /dev/null
+++ b/app/graphql/types/group_type.rb
@@ -0,0 +1,21 @@
+# frozen_string_literal: true
+
+module Types
+  class GroupType < NamespaceType
+    graphql_name 'Group'
+
+    authorize :read_group
+
+    expose_permissions Types::PermissionTypes::Group
+
+    field :web_url, GraphQL::STRING_TYPE, null: true
+
+    field :avatar_url, GraphQL::STRING_TYPE, null: true, resolve: -> (group, args, ctx) do
+      group.avatar_url(only_path: false)
+    end
+
+    if ::Group.supports_nested_objects?
+      field :parent, GroupType, null: true
+    end
+  end
+end
diff --git a/app/graphql/types/namespace_type.rb b/app/graphql/types/namespace_type.rb
new file mode 100644
index 00000000000..36d8ee8c878
--- /dev/null
+++ b/app/graphql/types/namespace_type.rb
@@ -0,0 +1,19 @@
+# frozen_string_literal: true
+
+module Types
+  class NamespaceType < BaseObject
+    graphql_name 'Namespace'
+
+    field :id, GraphQL::ID_TYPE, null: false
+
+    field :name, GraphQL::STRING_TYPE, null: false
+    field :path, GraphQL::STRING_TYPE, null: false
+    field :full_name, GraphQL::STRING_TYPE, null: false
+    field :full_path, GraphQL::ID_TYPE, null: false
+
+    field :description, GraphQL::STRING_TYPE, null: true
+    field :visibility, GraphQL::STRING_TYPE, null: true
+    field :lfs_enabled, GraphQL::BOOLEAN_TYPE, null: true, method: :lfs_enabled?
+    field :request_access_enabled, GraphQL::BOOLEAN_TYPE, null: true
+  end
+end
diff --git a/app/graphql/types/permission_types/group.rb b/app/graphql/types/permission_types/group.rb
new file mode 100644
index 00000000000..29833993ce6
--- /dev/null
+++ b/app/graphql/types/permission_types/group.rb
@@ -0,0 +1,11 @@
+# frozen_string_literal: true
+
+module Types
+  module PermissionTypes
+    class Group < BasePermissionType
+      graphql_name 'GroupPermissions'
+
+      abilities :read_group
+    end
+  end
+end
diff --git a/app/graphql/types/project_type.rb b/app/graphql/types/project_type.rb
index fbb4eddd13c..baea6658e05 100644
--- a/app/graphql/types/project_type.rb
+++ b/app/graphql/types/project_type.rb
@@ -66,6 +66,9 @@ module Types
     field :only_allow_merge_if_all_discussions_are_resolved, GraphQL::BOOLEAN_TYPE, null: true
     field :printing_merge_request_link_enabled, GraphQL::BOOLEAN_TYPE, null: true
 
+    field :namespace, Types::NamespaceType, null: false
+    field :group, Types::GroupType, null: true
+
     field :merge_requests,
           Types::MergeRequestType.connection_type,
           null: true,
diff --git a/app/graphql/types/query_type.rb b/app/graphql/types/query_type.rb
index 0f655ab9d03..40d7de1a49a 100644
--- a/app/graphql/types/query_type.rb
+++ b/app/graphql/types/query_type.rb
@@ -9,6 +9,11 @@ module Types
           resolver: Resolvers::ProjectResolver,
           description: "Find a project"
 
+    field :group, Types::GroupType,
+          null: true,
+          resolver: Resolvers::GroupResolver,
+          description: "Find a group"
+
     field :metadata, Types::MetadataType,
           null: true,
           resolver: Resolvers::MetadataResolver,
diff --git a/changelogs/unreleased/bw-add-graphql-groups.yml b/changelogs/unreleased/bw-add-graphql-groups.yml
new file mode 100644
index 00000000000..f72ee1cf2b7
--- /dev/null
+++ b/changelogs/unreleased/bw-add-graphql-groups.yml
@@ -0,0 +1,5 @@
+---
+title: Add initial GraphQL query for Groups
+merge_request: 27492
+author:
+type: added
diff --git a/doc/api/graphql/index.md b/doc/api/graphql/index.md
index ec48bf4940b..cf02bbd9c92 100644
--- a/doc/api/graphql/index.md
+++ b/doc/api/graphql/index.md
@@ -29,7 +29,11 @@ curl --data "value=100" --header "PRIVATE-TOKEN: <your_access_token>" https://gi
 
 ## Available queries
 
-A first iteration of a GraphQL API includes a query for: `project`. Within a project it is also possible to fetch a `mergeRequest` by IID.
+A first iteration of a GraphQL API includes the following queries
+
+1. `project` : Within a project it is also possible to fetch a `mergeRequest` by IID.
+
+1. `group` : Only basic group information is currently supported.
 
 ## GraphiQL
 
diff --git a/spec/graphql/types/group_type_spec.rb b/spec/graphql/types/group_type_spec.rb
new file mode 100644
index 00000000000..3dd5b602aa2
--- /dev/null
+++ b/spec/graphql/types/group_type_spec.rb
@@ -0,0 +1,11 @@
+# frozen_string_literal: true
+
+require 'spec_helper'
+
+describe GitlabSchema.types['Group'] do
+  it { expect(described_class).to expose_permissions_using(Types::PermissionTypes::Group) }
+
+  it { expect(described_class.graphql_name).to eq('Group') }
+
+  it { expect(described_class).to require_graphql_authorizations(:read_group) }
+end
diff --git a/spec/graphql/types/namespace_type.rb b/spec/graphql/types/namespace_type.rb
new file mode 100644
index 00000000000..7cd6a79ae5d
--- /dev/null
+++ b/spec/graphql/types/namespace_type.rb
@@ -0,0 +1,7 @@
+# frozen_string_literal: true
+
+require 'spec_helper'
+
+describe GitlabSchema.types['Namespace'] do
+  it { expect(described_class.graphql_name).to eq('Namespace') }
+end
diff --git a/spec/graphql/types/query_type_spec.rb b/spec/graphql/types/query_type_spec.rb
index 69e3ea8a4a9..b4626955816 100644
--- a/spec/graphql/types/query_type_spec.rb
+++ b/spec/graphql/types/query_type_spec.rb
@@ -5,7 +5,7 @@ describe GitlabSchema.types['Query'] do
     expect(described_class.graphql_name).to eq('Query')
   end
 
-  it { is_expected.to have_graphql_fields(:project, :echo, :metadata) }
+  it { is_expected.to have_graphql_fields(:project, :group, :echo, :metadata) }
 
   describe 'project field' do
     subject { described_class.fields['project'] }
diff --git a/spec/requests/api/graphql/group_query_spec.rb b/spec/requests/api/graphql/group_query_spec.rb
new file mode 100644
index 00000000000..8ff95cc9af2
--- /dev/null
+++ b/spec/requests/api/graphql/group_query_spec.rb
@@ -0,0 +1,118 @@
+# frozen_string_literal: true
+
+require 'spec_helper'
+
+# Based on spec/requests/api/groups_spec.rb
+# Should follow closely in order to ensure all situations are covered
+describe 'getting group information' do
+  include GraphqlHelpers
+  include UploadHelpers
+
+  let(:user1)         { create(:user, can_create_group: false) }
+  let(:user2)         { create(:user) }
+  let(:admin)         { create(:admin) }
+  let(:public_group)  { create(:group, :public) }
+  let(:private_group) { create(:group, :private) }
+
+  # similar to the API "GET /groups/:id"
+  describe "Query group(fullPath)" do
+    def group_query(group)
+      graphql_query_for('group', 'fullPath' => group.full_path)
+    end
+
+    it_behaves_like 'a working graphql query' do
+      before do
+        post_graphql(group_query(public_group))
+      end
+    end
+
+    context 'when unauthenticated' do
+      it 'returns nil for a private group' do
+        post_graphql(group_query(private_group))
+
+        expect(graphql_data['group']).to be_nil
+      end
+
+      it 'returns a public group' do
+        post_graphql(group_query(public_group))
+
+        expect(graphql_data['group']).not_to be_nil
+      end
+    end
+
+    context "when authenticated as user" do
+      let!(:group1) { create(:group, avatar: File.open(uploaded_image_temp_path)) }
+      let!(:group2) { create(:group, :private) }
+
+      before do
+        group1.add_owner(user1)
+        group2.add_owner(user2)
+      end
+
+      it "returns one of user1's groups" do
+        project = create(:project, namespace: group2, path: 'Foo')
+        create(:project_group_link, project: project, group: group1)
+
+        post_graphql(group_query(group1), current_user: user1)
+
+        expect(response).to have_gitlab_http_status(200)
+        expect(graphql_data['group']['id']).to eq(group1.id.to_s)
+        expect(graphql_data['group']['name']).to eq(group1.name)
+        expect(graphql_data['group']['path']).to eq(group1.path)
+        expect(graphql_data['group']['description']).to eq(group1.description)
+        expect(graphql_data['group']['visibility']).to eq(Gitlab::VisibilityLevel.string_level(group1.visibility_level))
+        expect(graphql_data['group']['avatarUrl']).to eq(group1.avatar_url(only_path: false))
+        expect(graphql_data['group']['webUrl']).to eq(group1.web_url)
+        expect(graphql_data['group']['requestAccessEnabled']).to eq(group1.request_access_enabled)
+        expect(graphql_data['group']['fullName']).to eq(group1.full_name)
+        expect(graphql_data['group']['fullPath']).to eq(group1.full_path)
+        expect(graphql_data['group']['parentId']).to eq(group1.parent_id)
+      end
+
+      it "does not return a non existing group" do
+        query = graphql_query_for('group', 'fullPath' => '1328')
+
+        post_graphql(query, current_user: user1)
+
+        expect(graphql_data['group']).to be_nil
+      end
+
+      it "does not return a group not attached to user1" do
+        private_group.add_owner(user2)
+
+        post_graphql(group_query(private_group), current_user: user1)
+
+        expect(graphql_data['group']).to be_nil
+      end
+
+      it 'avoids N+1 queries' do
+        post_graphql(group_query(group1), current_user: admin)
+
+        control_count = ActiveRecord::QueryRecorder.new do
+          post_graphql(group_query(group1), current_user: admin)
+        end.count
+
+        create(:project, namespace: group1)
+
+        expect do
+          post_graphql(group_query(group1), current_user: admin)
+        end.not_to exceed_query_limit(control_count)
+      end
+    end
+
+    context "when authenticated as admin" do
+      it "returns any existing group" do
+        post_graphql(group_query(private_group), current_user: admin)
+
+        expect(graphql_data['group']['name']).to eq(private_group.name)
+      end
+
+      it "does not return a non existing group" do
+        query = graphql_query_for('group', 'fullPath' => '1328')
+        post_graphql(query, current_user: admin)
+
+        expect(graphql_data['group']).to be_nil
+      end
+    end
+  end
+end