Before you go and replace that pump do a simple test:
Remove the pump (this is easy)
Put it on a bench or your pickup tailgate. Get a 12v source. (I just connected my jumper cables to my Trlr battery and to the pump wires.
Connect a length of hose to the INTAKE side and drop in a pan or bucket of water, apply the 12v and see if the pump is actually pumping. a good stream of water should shoot out the output side. NOT a dribble or a slow run.
This will tell you if the pump is working or if you have a different problem.
You should as part of the above test screw on a plastic valve to the output and try opening and shutting it to see that the pump cycles
correctly. (This imitates the faucet opening.)
So if it works there is no need to disassemble the pump. If not then take the pump head off...this is also simple and look for dirt depris etc and remove and retest.
If your pump in fact does NOT pump water on the test or after you have dismantled it....YOU STILL DO NOT NEED A NEW PUMP. And despite what someone else said here they are not CHEAP.
The vast majority of these pumps have re-build kits available for less than half of the pump cost and those kits are easy to install...about a 10 minute job if the pump is already out.
Ask about the rebuild kits first.
If your pump does work OK in the test then you have one of two problems depending on what your pump is doing:
Tell us if the pump is always running (never pressurizes the system) or if it Cycles but doesn't flow.