Stick RPG 2 (by XGen Studios, 2009/2011) does not have a purchasable or obtainable television item for your apartment.
The computer is your screen-based interface—stock market, bank, email, stats, missions. It functionally replaces a TV.
If you're thinking of a specific version (mobile port, Director's Cut, mod), check that version's wiki. The original Flash/Desura/Steam versions have no TV.