Depends on the agreement with the landlord. Some apartments might include heat & hot water, or they may offer free cable & wifi as a promotion. Most places, they will be required to provide water & sewer/waste water, plus trash collection. Do expect to pay electricity as it has become rare to include that. If heat, hot water, etc, are all electric, then you will be paying heat & hot water in your electric bill.
For a house rental, expect to pay all utilities: electric, gas, fuel oil where that's used for heat, trash, water & sewer, etc. As well as all interior & exterior maintenance such snow removal, lawn mowing, etc.