Goergl took advantage of improved snow conditions on Germany's Kandahar run and finished in 1 minute, 47.24 seconds.
The win was also the third gold medal for the Austrian women's team. Goergl won the super-G on Tuesday and Anna Fenninger won the super-combined on Friday.
"Lizzy (Goergl) has stepped up and she's done incredibly well. Her runs were amazing," said Vonn, the defending champion who appeared to be fully back on her feet after being slowed by a concussion suffered in a practice.
"I could feel the speed today," said Vonn. "There were great conditions out there and I enjoyed racing ."