The general consensus is if you don't have a computer on campus, you'll be at a disadvantage. Most have a PC in their room, and while you can get by without one, it's generally a better idea to bring one along for your own use. You can use the public computers in the labs, but you run the risk of losing things if you save documents in the public drives and not being able to get a computer if it happens to be busy, especially toward the end of semesters. It's a matter of convenience, for some necessity, to have a personal computer. UR is not equipped to handle a large amount of students with constant needs for machines, and most would rather bring their own system than rely on public lab ones. If you have a personal computer, you can enjoy the super-fast Ethernet at your leisure, as well.
Having your own computer is the best move to make at UR. You can have it in your room, save things you need, and not have to worry about its availability. Professors will also put things online or e-mail students about assignments and any additional info you need to know, so if you can't get to a computer when you need to, it could present a large problem. Whether you should have a desktop or a laptop is up to the individual, but if needed, UR is equipped with wireless technology to have Ethernet on a laptop.