That TV looks pretty recent, which means it most likely has an S-Video input. If it does, you're golden. Get thee a video card with S-video output, and you're all set.
If by luck the TV has a DVI input, even better. Most recent video cards have DVI/HDMI outputs that will work.
I'm assuming of course, that the PC you plan to use has a free AGP, PCI, or PCIe slot (not just confined to onboard video). What have you got?