Short-cycling, the pump turning on and off rapidly rather than running a normal cycle, is most often caused by a pressure tank that’s lost its air charge, a waterlogged tank that no longer cushions pressure changes properly. It can also point at a failing pressure switch, or a check valve that’s letting water drain back down the well casing between uses, which forces the pump to refill the system every time it starts. Each has a different fix, and testing the pressure tank’s air charge is usually the fastest way to narrow it down.
This is a genuinely different system from the municipal water that comes out of your kitchen tap, drawing instead from a well on the property, and it’s worth diagnosing it as its own thing rather than assuming the same causes as a household plumbing issue.