Q: I want to burn a .mov file to a DVD; do I need Quicktime Pro?

There are several ways to do this.

I would generally use iMovie HD 06 and iDVD.   You can also use QuickTime and Toast.   I don't think you need QuickTime Pro, however it is inexpensive to get.

Do you want to create a video DVD that will play on a TV set via a DVD player?  If so Quicktime won't do the job.  You'll need a video DVD authoring application that will run under Windows.   These two websites list apps for Windows to create video DVDs.

http://www.techsupportalert.com/content/best-free-dvd-authoring-software.htm

http://dvd-authoring-software-review.toptenreviews.com/

If you just want to create a data DVD that contains the movie file you can do it with the system software on your PC.  Just burn like you would burn any other files to a disk.

I've never used a PC except to send email from a hotel in Europe so can't help you with that.  Best find a Windows forum or ask the software's developers.