Why would someone want to study in Perugia? The city is about 200,000 people large, holds a good amount of history (a wall runs through the city that was constructed by the Etruscans, a civilization preceding the Roman Empire) but Perugia is a drop in the bucket when compared to metropolises like Rome or Florence.
The great thing about Perugia is that it is located in Umbra, the heart of the country. Drive in any direction a half hour, and you will arrive at a city that is small, quaint, and evident of the beauty that exists in the hill country of Italy.
One famous example would be Assisi. The city is a perfect location for a day trip. Last Thursday, I finished class at noon and hopped on a train to Assisi for the afternoon. Easy-peasy-lemon-squeezy! (Note: This phrase is only used because my Italian amico Leonardo finds no end to the hilarity of this phrase).