Many landlords require that you have renters liability insurance, which is especially important if you have a dog or your place is aging or not properly repaired. Do you have enough funds to cover replacement of property & temporary living quarters -- if not, you need renters insurance that includes this as well as liability.
If the lease is in your name, you get the insurance. Make sure the property coverage is large enough if you want to share the coverage cost with roommates. DS did this in college.
Just like auto insurance, shop around because the prices & coverage do vary. You can get a premium discount by combining the two from the same provider. Try Farmers, Geico, Progressive, State Farm. We're insured with Cincinnati (Capstone program). Most policies have an annual term, but you can cancel any time & get your unused portion refunded.