I’ll deflate the tension: No, she did not. Therefore the story, posted in the Babylon Bee, is incorrect.
The Babylon Bee has posted the following contrite retraction:
[EDITOR’S NOTE: We have been notified by Snopes.com that this story is not true. After reviewing the evidence, we would like to retract it. Ocasio-Cortez did not actually appear on The Price Is Right and guess that everything is free. In fact, it appears that this entire story was completely made up. Everything else on our site is still true, however. We apologize for any confusion.]