I imagine that will work best with no ambient light, (scene settings), no skylight (render settings), and lots of indirect light. Of course, with the light emerging from the TV. This might be perfect for a dim spotlight as your light source, emerging from the tv screen.
As putting HDRI or other texture on the light slows down the render time (by a lot!). I suggest building the scene with only a dim blue light until you are close to satisfied with the composition, then add the image base to the light (IBL).