Is this a squeak, coming from a worn alternator, a squeak from an overtight belt, or a squeal (scream) from a slipping belt?
If the alternator is difficult to turn, this suggest there might be something wrong inside. Call into the supplier and ask them to have a look.
If the belt is squeaking due to being too tight, that is easily remedied, but this, and an internal squeak are unlikely to be particularly audible outside the car, only when listening with the bonnet up.
If the belt is squealing, this suggests it is slack, the demand is too great, or the pulleys are polished.
Slack - retension it.
Demand too great - battery dead, or alternator is tight. Alternator should spin freely when belt disconnected. Any resistance suggests something rubbing inside, or bearings failing.
Pulleys polished - more common that you'd want. When belts wear, and become slack, people ignore them until they squeal. If that is not dealt with, new or retensioned belt, the slipping belt will polish the pulley surfaces. Any replacement belt can struggle to grip the polished pulleys. The cure is new pulleys. The running surfaces can be dressed with very fine abrasive, but this is a difficult job on the old single groove pulleys, a nightmare on the multi-groove ones. A Saturday afternoon at the kitchen table may beckon.