A p-zombie is kind of like a computer pimped out with motion sensors, speakers, and locomotion equipment. It tells you that it experiences the world because it's programmed to say that. It's constructed so well that it can converse, apply logic, and do all the things a sentient entity would do including making mistakes and straying into the folly of arrogance and spite. It appears to be sentient, but this is an illusion. It's all programmed behavior.
Eliminative materialism says that all humans are essentially p-zombies. The alternative views are diverse, but include people like Nagel and Chalmers. Either path is kind of treacherous. It's a "pick your poison" situation.