Help needed architecting a simple service

I’m trying to familiarize myself with web application development as it is done in the present day, and I’ve decided to try and develop a simple service to get started. Essentially, this is an application that works with a local Git repository; upon receiving REST calls the application will perform Git operations (such as status, fetch, describe, etc.) on that repository.

Being what it is, this would seem like a textbook application of “serverless architecture”, but my first impression is that the fact that the application works on a Git repository may make it seem inappropriate. I’d like to get some advice on the matter from someone who has more knowledge of the subject matter. That said, if it is appropriate, perhaps a few recommendations on some proper implementation tooling can be had…?