The main point of a static website is that you don't need a web app to serve it, any web server that can serve files (all of them) will do.

I use my own static site generator to generate the final HTML/CSS (but could be using Hugo or Jekyll or anything else)... when I push the generated files on my gitHub repo, Netlify automatically detects it and starts serving the new files. That's pretty much what you probably actually want.

Takes less than 5 minutes to get it setup.

Note: I have no afilliation with Netlify, just a happy customer.

https://www.netlify.com/blog/2016/10/27/a-step-by-step-guide...