I believe it is 30 days, they will send you a cobra letter, to see if you want to keep the insurance but pay for it. Believe me outrageous prices too. Hope you have insurance through your new employer. Good Luck in all you do!
They end after you leave, and after paying all that money, make sure they have your account up and running, they(UPS Cobra Coverage) didn't have my family and myself covered after paying into it for 3 months. You should have called the UPS health care line when you gave your notice, and take note of everything.