Think Heroku but just for deploying static assets. You can do something as simple as have a git repo of assets, push it, and you're up and running with SSL, etc, straight away.
How do you get dynamic? Well, they support a build process so static sites or assets can be built at their end, if that's how you roll. But if you want fully dynamic sites, well, no, you can use their AWS Lambda-powered functions service to help build this out, but you won't be deploying something like a PHP or Rails app to Netlify :-) This limitation opens up a lot of other opportunities to simplify deployment, however.