Car starting problems?

Alright, I have a 1994 Oldsmobile Cutlass Ciera that won't start. It had been sitting all winter, but before that, I had the battery replaced because it wouldn't start then. I had someone look at it with a tester and they said it has a charge, but sometimes a battery can go bad and not start a car. Looking back, that doesn't make sense, but whatever, too late now. Anyways, I tried jumping it and the first time the lights and everything went on, but it wouldn't work so I gave up and tried it another day. When I tried the second time the lights wouldn't go on at all. Could the battery just be so dead it either needs to be replaced, or charged, rather than jumped?