Apparently the future is now and it's library is the University of Chicago’s new Joe and Rika Mansueto Library. You enter into a 8,000 square foot dome called the Grand Reading Room, which is nicely lit and contains a vast number of tables with chairs and computer terminals. The thing you won't find in this dome are bookshelves.
The books themselves are housed in an underground storage facility located directly beneath the dome, and when you want to pull one of the 3.5 million books you just make a request on your computer terminal and a computer activated robotic crane pulls the book and sends it up to the circulation desk. The whole process apparently takes about five minutes, which should give you enough time to get up and walk to the circulation desk. The same crane system re-shelves the book when you are finished with it too.
There are a few more details as well as a neat video showing some of the underground storage in this article from Singularity Hub