While GA is free Photoshop has one of the most insanely bloated pricing approaches for casual usage - the fact it's handed out like candy to students (and various institutions allow this instead of familiarizing students with alternatives) is the only reason its kept such a dominant market position.

If your boss asks you for some analytics about site usage the first thing searching the web will turn up is GA and you can have it set up on a test env in less than half an hour including acquiring an API key and reading enough docs to configure it.