Bozen-Bolzano is located in the center of the Alps, next to the main connection between Italy and Central/Northern Europe at the Brenner pass. There are plenty of apps ad websites out there for comparing, combining and booking trains and buses and flights.
The most used airports for travel to Bozen-Bolzano are Milan and Munich, but there are also closer airports in Innsbruck, Verona, and Bologna that may be useful.
Coming by car, use the Brennero A22 motorway and take the exit Bolzano-Sud if you come from the South (Verona – Trento), and Bolzano-Nord if you come from the North (Munich – Innsbruck).
Most places in the city are reachable on foot. Another good transport medium is bicycle. You can rent a simple bike for 2€ for up to 6 hours, but there are several other providers. More advanced bicycles can be found here.
The city runs a number of bus lines, most of them stopping directly opposite university. Tickets cost 1,50€ for a single ride and 3€ for a day, and can be bought at onboard machines, paying with coins. The province runs also a wide range of regional buses and trains. Tickets for buses can be bought onboard, while tickets for trains need to be purchased in advance at the station.
If you plan several rides on buses or trains, you might consider getting a public transport card (see below).
Some interesting places easily reachable by regional train/bus are
Value cards are universal transferable tickets that can be used on all public transportation means of the South Tyrol Integrated Public Transportation network (which includes buses and cable cars).
Mobilcards allow you to use all vehicles of the South Tyrol Integrated Public Transportation network for 1, 3, or 7 consecutive days. The Mobilcard is a personal ticket and therefore non-transferable. It must be validated at the beginning of each journey.
Museomobile cards combine the advantages of mobilecards and museum visits in South Tyrol. The card is obtainable as a 7 day or a 3 day card as well as an adult and a children card (aged 6-13).
Bikemobile cards combine the advantages of mobilecards with the possibility of renting a bike. The card is available for 1, 3, or 7 consecutive days.
Please follow the above links for prices and detailed information on where to get the cards.