You can use your Nvidia with freesync enabled TVs and monitors. Support varies but it does work most of the time.
How to enable NVIDIA G-Sync on a FreeSync display
You absolutely can have another GPU for other monitor/TV. But bare in mind that your TV might only support FreeSync for up to 60Hz=FPS and with a decent GPU you'll never hit that low, so it will be a waste. Research your TV's specs first.