So I don't normally setup WP sites, but I have as a favour. A caching plugin just generates the HTML files and you configure NGinX / Apache to the appropriate directory. Historically I think most did it via .htaccess w/ Apache for shared hosts, but I've only configured it w/ NGinX. E.g. https://www.nginx.com/blog/9-tips-for-improving-wordpress-pe...

I think a lot of third-party hosts provide this out of the box, maybe even using their own CDN. WP is so popular that it's be difficult not to find a service that handled it all for you so long as you have room in the budget.