1995 Chevy Cavalier Hesitation on start up

How long since a tune-up? Use a gage and check fuel pressure. After an overnight sit, cycle the key two or three times on and off, before you crank. See if it helps. Have you checked for possible trouble codes? If your fully obd1 compliant, you can check mil codes, yourself. Use a jumper wire between terminals A & B at the data link connector. Turn key just till dash lites come on, no further. The mil starts flashing, you count the flashes to get the codes. Your looking for two digit codes.

I did look at service bulletins about your coolant, didn't see anything that caught my attention. Could be almost anything, keep an eye on it. The vehicle doesn't overheat? Check, radiator hoses--heater hoses--radiator--heater core-- water pump-- could also be a gasket problem somewhere? If no external leak, maybe an intake or headgasket leak? There is no coolant in the oil?