Accommodation can be found in hotels, rooms and other structures. Most of the town’s hotels are at a walking distance from the University, the railway station, the main bus station and the Ritten/Renon cablecar. They can be found through any search engines for hotels and private accommodations. You may find accommodation also through the local provider Booking Bolzano.
As South Tyrol is a touristic destination, the offer is large, but rooms are booked quickly. You can also choose to book a room in a different place or town. In that case, you might benefit from the official website for public transportation in South Tyrol.