Roll your own geek.
No, serious. A friend of mine is married to a beautiful young lady and she wasn't a geek when she met him. After 10 years she's almost as much a geek as him - she followed battlestar, and knows why the Minbari surrendered on the eve of victory.
Another friend's girlfriend knew nothing about computers (neither did he!) but when they got one she became an net geek ( the late 90's amateur kind ), all IRC and Napster. Proper little nethead she was.
You can take a regular girl and if you're lucky you can turn her into a geek. Just take a slowly and make it FUN. I suspect World Of Warcraft might be your starting point.