If you're studying abroad in Florence this semester and come from the States, you're going to notice some differences between your hometown and this one. America: land of convenience, high-speed wi-fi, Walmart. Florence is not the same-nor should it be. So life here may take some getting used to. Cognizance, in this sense, is key. Be prepared and have realistic expectations and you will be happy (or at least not nastily surprised!).
Adapt to the local norms. For example, I am often on the receiving end of complaints from students who claim to be freezing in their apartments. Yet, when the landlord or handyman arrives in the apartment, he discovers (in early December) its residents clad in tank tops and Soffe shorts. Utilities in Italy are expensive, and you don't need to run the gas 24 hours a day to stay warm. If you're not home during the day, turn down the heat. Keep the windows closed. Put on a sweater! And put on some pants!
There's a good chance your water will kick the bucket for a few hours. Or just the hot water. Or maybe the water pressure in your apartment goes from drizzle to monsoon in a matter of seconds. I promise, your acqua troubles are no different from those of the average Florentine. You'll just need to grin and bear it! If your water is out for more than a few hours then call your landlord, but chances are it's just routine construction or maintenance and things will be ‘normal' soon enough.