A renters policy, sometimes called an HO-4, generally has three parts.
Your Personal Property
Furniture, clothes, electronics and the rest, usually against named causes such as fire, theft and certain water damage. Ask whether the policy pays replacement cost or actual cash value, because that decides whether a claim buys new things or depreciated ones. The replacement cost guide explains the difference.
Personal Liability
If a guest is hurt in your unit, or you accidentally damage someone else's property, liability coverage responds. It follows you, not just the apartment.
Loss of Use
If a covered loss makes the unit unlivable, loss of use helps with the extra cost of living somewhere else while it is repaired.

