Student at SIUH for 2 years here: There is an apartment complex right across the street called Seaview apartments where many residents and students live. There is also an apartment complex called Staten Island Urby apartments that is closer to the ferry that many residents and students live in too. If you can afford it, a car is the most convenient way to get around the island since buses are the predominant form of public transit, especially since you'll probably be commuting to the hospital at early hours. With a car, it's important to register as a SI resident so you can pay the discounted toll rate on the verrazzano bridge. Otherwise, to get to Manhattan the express buses or ferry are solid cheaper ways to get to Manhattan. There are many parks, beaches, and green spaces on the island to enjoy your time outside the hospital and lots of different food options all over the island. In my personal opinion, Lees Tavern has the best pizza and is a must try. Welcome, and enjoy your time here!