The Giants are up two games to one and can close out the best-of-five series Monday night.
The Braves did nothing against Jonathan Sanchez, managing only two hits in 7 1-3 innings, before pinch-hitter Eric Hinske lined a two-run homer off Sergio Romo for a 2-1 lead.
Atlanta didn't have closer Billy Wagner, out with a pulled muscle on his left side. Rookie reliever Craig Kimbrel was within one out of the save before the Giants rallied.
Aubrey Huff tied it with a run-scoring single off Mike Dunn. Then, Buster Posey's hard grounder toward second went under Conrad's glove to bring home the winning run.