you can view the computer on the TV.
The MacMini has, depending on its age, a thunderbolt port, an HDMI port, a DVI port or a Mini Display port.
Check to see what video out connection your Mac has and use the appropriate cable to connect it to the TV.
You will then see exactly what you would have seen if you had connected a regular monitor to the Mac.
Or were you thinking of something else?
I recently bought an LG, LED, 42" tv. My goal is to access computer through tv. Exactly what devices do I need to connect the Macmini to the tv and not have to pay cable tv anymore?!