There are several universities local to York, such as University of York, YUSU: University of York Students' Union, The University of York - Heslington East. If you're a prospective student, find out which one offers the best course in your area of interest, and then look for a room nearby.
There are plenty of great museums to visit in York such as National Railway Museum York, York Castle Museum, Yorkshire Museum. With so many choices, you'll never be hard-pressed to find something that interests you. Bring a friend along and make a day out of it.
York has great transport links: benefit from train services to thousands of destinations from the nearby Calcaria Taxis & Mini-Buses, Grand Central, York train station. The trains will take you to all major cities if you want to plan a getaway for the weekend.