We don't have a Django specific example. Our general quickstart is in http://doc.gitlab.com/ce/ci/quick_start/README.html and an example for PHP is given in http://doc.gitlab.com/ce/ci/languages/php.html
The file we use to test GitLab itself (a Rails app) can be found on https://gitlab.com/gitlab-org/gitlab-ce/blob/master/.gitlab-...
With the rest of the community we're working on more tutorials, I heard one about iOS projects was pretty close https://gitlab.com/gitlab-com/blog-posts/issues/29
I've create an issue to improve the discoverability of the CI examples https://gitlab.com/gitlab-org/gitlab-ce/issues/13410