Your player will have the option to watch full-screen. Have a look under View or window or something similar for that option.

If you burn it to dvd then it will be stretched out to fit your TV upon playback. As for how to burn to dvd, well, roxio or nero & TMPG

By the way, if you have the appropriate graphics card on your computer, then you can connect directly to your TV. See http://www.videohelp.com/play