Seventh, I greatly appriciate your knowledge on this, but isn't the whole web a "library" for information, and this is just a way to find a lot of it?
No, because the difference between this 'library' and Google is that when you put in a keyword into Google, you get more information than you started with. Typing in 'beans' in Google will fetch you pages with information relevant to beans like Wikipedia articles, botany websites, pictures of bean-anatomy, etc.
Algorithms like these will only give you a number that you can 'plug back' into the algorithm to give you your original search term. The reason why this website divides things into arbitrary blocks like books, shelves, and hexagons is to obfuscate the fact that it plugged your search term into a reversed version of the algorithm and spat out an address that, when plugged into the algorithm, gives your search term back.
For instance, let's pretend that we have a function f(x) that maps every integer value of 'x' to a word in the English alphabet. When you type in 'beans', it plugs it into f^-1(x), the inverse function, and gets '343'. It then shows you 'page 4', where '343' lies, and it also calculates f(342) and f(344) to act as the other 'words' on the page. The entire reason why it divides stuff into pages and includes extra information is to create the impression that these 'books' are actually stored somewhere, but they're not.