One of the perks of studying in Italy is the ability to travel. You may not get to see the whole of Europe in a single semester, you should choose quality over quantity. This semester can be you dipping your toe in the water of traveling abroad. With cheap airlines, trains and also buses you can travel across Europe easily. Plan the cities you want to visit before leaving.
Remember that you don’t have to leave Italy to see some amazing cities. Milan, the fashion capital of the world is only a couple of hours away. Rome, the eternal city, is again, just a couple of hours away. You could also choose to take a bus and go visit Fiesole, twenty minutes from Florence and an Etruscan treasure trove with magnificent views over the whole of Florence.
Finally, you can expect to have lots of fun. Florence is a cosmopolitan and exciting city with lots of activities to enjoy. It is also a melting pot with different cultures and people from all over the world coming together. You can explore both it and surrounding cities, and their various iconic landmarks, and take part in cultural activities.