About the only way to get around the constant pulsating on-off, is to add a pressure (air) in-line tank. The tank has air in it with a bladder that holds water. The air space outside the bladder keeps pressure on the bladder and thus, in your lines. It keeps the pump from turning on-off every time you open a faucet. But, when the pump comes on, it will run longer to fill the pressure tank. But also, you can run water until the pressure drops and the water pump turns on again.
Most water pressure tanks I'm familiar with have an AIR bladder that serves to even water pressure inside the tank. The water is outside that bladder.