It is true that as a comp.sci student, I did most of my reading online. But one of the best things about library for me was to get a tour of all the other discipline books. See what students from other branches were studying and look at their library books. This is definitely much richer experience than just going crawling on the web. It was also a quiet place to study and prepare for tests/exams. It was also the place where we got all our printing and photocopying done. I don't see these needs going away no matter how much we rely on our connected phones, tablets and laptops.