Talking about running it only a fw months of the year, no this will not hurt it. But if you turn the power off to it when not using it for several months, then turn the power on and fire it up you coudl have problems becuase the compressor actually heats itself to keep the refrigerant and oil from collecting in the compressor. Leave the power on to it all year and when you want to run it then run it. Like all HVBAc machines make sure and wash the outside coils out before cooling season and whenever it is needed during cooling season, keep your indoor air filters clean and change them regularly. If you can inspect the indoor coil make sure it is clean, poor a little bit of bleach in the evaporator drain and make sure it isn't plugged up and you're system will last along time.
Whenever you check teh indoor coil also check your fan blower motor to make sure it isn't full of dust/dirt, if it is it isn't hard to pull it out and clean it up.