I would say confidently that most freshman rooms have a printer. One of the two (or three) roommates typically brings one. That being said, I’m sure that the use of these varies. I am a rising senior; I had a deskjet printer that I used some freshman year, but ink is expensive. Over the years, I have found it easier (and generally more convenient) to just use the campus printers.
If you’re unsure, I would wait until you arrive to get a printer. You can always buy one later; it may be harder to buy one and return it after finding that you don’t use it.
Last thing: a lot of this depends on what you are studying (major) and how you study (study habits). Some students print all of their notes or have a lot of assignments that require printing.