They don't show if he's dead or not.
It's exactly like Alien, you could say Kane is dead but he's still breathing.
The giant facehugger / octopus thing just get a tentacle into its mouth and the Jockey fell on the ground.
That's all you get to see and then the alien birth scene.
But it's an horrible way to make a bridge.
The design of the Alien is... lawlz.
And it ends just like AVP GRAWLLLLLLLLLLLLLLLLLLLLLLLLL