Okay, because of the nature of the WordPress vocabulary, you are going to need to define "page," but I'll try to answer your question.
AWP does not have complete AJAX navigation. It only loads certain things with AJAX. You can't navigate around an entire website with it: you can't click category or page links and just have them load.
AWP can load individual posts inline instead of having to go to the single page to read the entire post, and you can also navigate forward and backwards in the pages of posts on the index page and navigate between individual single posts with the "AJAX nav" module.
If this doesn't answer your question, feel free to say so.