I would suggest do nothing with that setup. Other than maybe get a ATV for AirPlay and stuff.
But you do NOT want to use that TV as a computer monitor. It is a Plasma TV, yes burn in rarely happens these days, but IR is pretty common still. I would just be annoyed if the dock on "IR'd" on the screen while I want to watch a Blu-Ray. And plasma IR can last a good long while.
FYI I am a huge plasma fan-boy. All of the TV's in my house are Panny Plasma's.