Use source from Git to run a website

Is there any way, to run website, using source from Git?

For example, I have private repository in Bitbucket, and I want to use this source in my website automatically (so the source will be automatically downloaded on my server) and when I make changes in repository (for example, update any file), the source is automatically updated in my webisite.

In this case, I want to use Laravel.

Thank you.