Thankfully, this helpful IFLScience breakdown of the presentation tells the less theoretical physics-informed among us that what Hawking was getting at.
"They [black holes] are not the eternal prisons they were once thought," IFL reports Hawking said. "Things can get out of a black hole both on the outside and possibly come out in another universe."
Another universe. There it is, from Stephen Hawking himself. You CAN get to a parallel universe through a black hole, according to the world's preeminent expert on things we'll never understand--someone call Matthew McConaughey.