Is the netgear game adapter for teh playstation and other game stations, the same as a network bridge, in the way it will connect to our wireless internet and allow you to connect a wired device to the game adapter for internet access.

Yes

That is what it is basically just that they called it differently for non tech people to understand better...

Some people here network bridge and have no idea what it is for but when they here Wireless game adapter well then they understand what it is for...