I think the OP was curious about what Nvidia's GameStream was and how it worked. It allows you to stream a PC game running on one computer to the Nvidia Shield. Some people got this to work with Dolphin, I think, but some people recently reported it was no longer working. At any rate, you can't actually run Dolphin on the Shield itself, and the streaming is local I think, not really sure how it works. Nvidia's FAQ mentions connecting both the host and the Shield to a router via Ethernet.
Also, have a look at this to get an idea what Nvidia means by "streaming" : http://en.m.wikipedia.org/wiki/Streaming_media
Now apply it to PC games. One device runs the actual game, but sends the audio and video output over a network to another device (the Shield in this case). The Shield receives and plays the audio and video data, but also sends back input to the host device running the game.
Also, have a look at this to get an idea what Nvidia means by "streaming" : http://en.m.wikipedia.org/wiki/Streaming_media
Now apply it to PC games. One device runs the actual game, but sends the audio and video output over a network to another device (the Shield in this case). The Shield receives and plays the audio and video data, but also sends back input to the host device running the game.