Check what the internet options are. You probably aren't moving to a place where it could be a problem but it's good to be sure.
Check if your unit comes with a parking spot. If it does and you don't have a car, ask what the policy is for renting out the parking spot.
Look at what appliances come with the apartment so you know what you need to bring in. Also ask about how responsibility works if an appliance stops working.
Visit multiple units so you get a feel on what they look and how much rent is.
Ask when the first possible move in date is. You don't necessarily have to target that date as the move in date but it's useful to know for planning purposes.
Ask about the damage deposit. How much it is and how it works.
For safety, don't visit locations alone. Bring someone else with you.