PSR means PHP Standard Recommendation. These are standards / recommendations covering multiple things including both code style (PSR-1, PSR-2) and autoloading (PSR-0, PSR-4).
PSR-0 and PSR-4 define how a class is found/resolved within your project's directories by the autoloader so you don't have to bother with require-statements. Have a look at your composer.json file, it contains an autoload section to define the namespace among other things (e.g. by default classes with a namespace beginning with App will be found under the directory app).
PSR-0 is deprecated, PSR-4 is recommended.
For the beginning just stick to the defaults and get used to the concept of namespaces. When you are comfortable with that you can try to dig deeper into these things.