I heard it more like, the fact that our universe is expanding faster than light, means there are parts of the universe we can never reach, even at light speed, which is mathematically identical to the event horizon of a black hole, which not even light can escape from. There’s not a singularity at the center of our observable universe, though.

Just to add to this... It's not like there's an event horizon like with a black hole. It's just that in the amount of time it would take the light to reach us, there will have been more space "created" than the distance the light was able to travel. For someone living near the edge of our observable universe, there's nothing strange happening. In fact, we'd be at the edge of their observable universe, the edge of their "event horizon."