Place grill pan on stovetop and turn heat to medium. Make sure you have the exhaust fan on as it can get smokey.
Lightly brush both sides of pork chops with olive oil and sprinkle with the salt and pepper, and rub in brown sugar well on both sides.
Place pork chops in heated grill pan and let grill for about 4 minutes. It may be necessary to adjust flame down a bit if they appear to be grilling too hot. But DO NOT touch them or move them around. Let the grill on first side for the 4 minutes.
Now flip pork chops over and grill on 2nd side for 4 minutes.
Turn off heat but leave pork chops in the grill pan and cover with aluminum foil and let sit for 5-10 minutes. This will finish the cooking process while keeping the pork chops juicy.