I don't know the prices exactly but I can give you some speculation about what they might be:
Going through a normal pharmacy is usually about a $15 copay for a generic with insurance (this is using my own numbers from what I pay).
Planned Parenthood charges on a sliding scale, which means if you do not have insurance (or are a minor on a parent's insurance and want the service to be confidential from them) you will pay a lower rate than someone who has some insurance coverage or someone who has a substanitally higher income than a student.
I think clinics such as Planned Parenthood will usually charge you for birth control what you would theoretically be paying going through a pharmacy with insurance, so you'd be looking at about $15 a pack.
This may be slightly lower or higher, though, depending on your needs and the clinic.
So your best bet is to look up their number and call them and ask them directly. It'll be fairly easy and quick to do and you'll get an accurate response rather than an estimate.