This week's book giveaway is in the OCPJP forum. We're giving away four copies of OCA/OCP Java SE 7 Programmer I & II Study Guide and have Kathy Sierra & Bert Bates on-line! See this thread for details.
I never tried that. At the very worst, you could get the source - a free download from Sun - modify TextField and call it NoBorderTextField. Maybe you can do a slightly better solution of overriding a method or two to not show the borders.