Boost provides static page caching for Drupal enabling a very significant performance and scalability boost for sites that receive mostly anonymous traffic. Keep aware of file system performance (see link below). Since Drupal 8-Version of this module Boost can serve cached content from files directly via RequestEvent independent from the used webserver. But it is still a good idea to use the webserver for serving static files. In this case there is even no PHP involved to serve content get the maximal boost.
Drupal 8+ Version does not have a configuration helper but should work with Apache and Nginx. Only Nginx config is currently documented.
For Drupal 7 documentation, see Boost 7.x: Static page caching for your website.
As a static file cache Boost depends on the file system which is used. Be aware of network-attached file systems.
A very basic example of an nginx configuration for use with Boost.
A very basic example of an Apache configuration for use with Boost.
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