I would like to know if there\'s possibility of deployment (Website) on a prod server with GIT?
Let me explain:
I have a team who work locally, it working with G
You would need, with gitlab, to use a webhook (same idea as with GitHub), in order to trigger a git pull from your prod environment.
See an example of a Gitlab webhook at "How to setup Gitlab with post-receive hook?".
Note: that webhook doesn't have to be in php: you can see more details and a different example in "Jenkins Gitlab Hook Plugin".
My answer from a possible duplicate of this question:
You probably want to use GitLab Pages. The documentation provided is quite detailed, you shouldn't have any problems following it. GitLab Pages is an EE- and Gitlab.com-only feature, though. If you're using GitLab CE, you can use this community solution: gitlab-ce-pages.
I have implemented the linked project in my own GitLab instance, and can confirm works as expected. Just follow the instructions on the Github page linked above.