The Patrons page is a running list of your patrons. From here you can search for patrons, add, edit, and delete.
The Add Patron link allows you to enter in more details for a patron than the quick patron add on the lending page.
You can also edit a user from this page and enter in additional details if you used the quick patron add previously.
holds page and filter out everything but that specific patron's holds.
checked out page and filter out everything but that specific patron's checked out items.