To what TV on monitor:
The monitor Must have either
A tuner (mine does), or
a spare input, composite video, or HDMI. Then you can hook up say a DVD recorder that has a tuner built in, which I also have. I have a TV ant hooked to the co-ax input and can recieve over-the-air local tv channels. The DVD recorder I have uses the cable input so that I can either watch a cable channel on monitor, or record the channel onto a DVD and whatch latter, like on my laptop.
To get TV onto the compute requires a card that can decode the signal. Older desktops could use the ATI all-in-wonder card which was a GPU with a built in tv tunner, Was discontinued - ATI would NOT put out a driver for new system and also stopped making the card.
Apparently your laptop has a bult in tunner card. Should have a Co-ox connector to recieve over-the-air broadcast. Try it a cheap Ant is about 15 -> 20 bucks, bought on at Big-lots. You can also try connecting your cable (again co-ax) to the laptop. You should also have a remote just like a TV for the laptop.
Added:
I just googled your Laptop and saw nothing that indicated it had a built in tuner. If it has a tuner it should have a co-ax connector