You really don't have to wait. Your "learner's permit" is just that. Use it to get some practice with a licensed driver (or take a driver's education course) and when you feel comfortable enough behind the wheel you can go sign up for the written test and the road test for your regular license.
If you have already completed the driver's education program, you should have 45 hours of practice with a guardian or parent and then wait at least nine months before you get your license. For more information visit: http://www.dmv.org/va-virginia/teen-drivers.php.