The best way to answer this question starts with your TV user manual. If your TV is designed to also be a computer monitor, the details will be there. You'll not only get a quick answer to your question, but should also wee which resolutions and frequencies are supported. Documentation for most recent TVs (including your Sony) is available online.
Not all digital TVs are designed to be hooked up to computers, but that doesn't mean it won't work. However, you will probably have to jump through some additional hoops and you may decide it's not worth it in the end.
First is the problem of getting a video signal to the display. Your best bet is a DVI output on the PC to DVI or HDMI input on the TV. This will keep the signal in the digital domain and will preserve optimal quality. You'll probably need to set your computer refresh to 60Hz to get this working, and you may have trouble matching the monitor resolution with the display resolution. Use the TV's native resolution, if possible. If this resolution is not available, you may need a new video card that will support it. Experiment, and see what works--worst case you just won't get a picture. Lastly, some video cards will support TV out standards, like composite video. This should definitely work, although you may not get the best picture.
Assuming you can get an image, you may still have problems with "overscan." Televisions do not normally display the entire picture. Rather, a small border around the edge of the screen is masked out so that your entire screen is always filled with video. You may find that the borders of your PC image are clipped off when running through a TV. There is some shareware software available to help fine-tune your PC resolution for display on TVs, but I forget what it is called. Try a google search for "PC overscan display" or some combination of similar terms and you should stumble across it.
Cheers!
Speleo.
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