There isn't really an effect in Final Cut Pro for this. Most people would use After Effects to create the effect.
What you might do is use Photoshop to create viewscreen "readouts" and any other effects you'd like to see. Then layer that over the image in Final Cut. Also in Final Cut, use the color corrector to make the image a green tint, and add some "noise" to complete the effect.
Good luck.
-Chris