Qualifications
Obviously, you have to have been in a sorority. This in itself entails being a woman and going to college, but the good news is that lots of colleges have Greek life. You don't have to go to a specific college or an Ivy League school for it to count.
To get into a sorority, you'll have to rush one, which basically means going through the arduous process of a three-day recruitment where your feet are about to fall off and your cheeks are frozen in a perpetual smile. You then have to be asked to join a specific sorority, accept, start the pledge process, become initiated, and attend secret Sunday meetings every week where everyone dresses in black and chants in unison (or something).
After this, you have to become completely invested in your Greek life experience. You must go to every meeting, every formal, and every philanthropy event. You also need to become extra-involved by accepting a position on your sorority's personal chapter management team. If you're really serious, it's probably wise to become the chapter President. By wise, we mean you must do this.
Once you graduate and have joined your alumni group at the ripe old age of twenty-two (you geezer, you), you can start applying for a job as a Collegiate Leadership Consultant (CLC).
Being a recent college graduate herself, a CLC goes across the nation visiting different sorority chapters. She makes sure that everyone is balancing their partying with studying and philanthrophy, as well as getting a bunch of free stuff. Unfortunately, these jobs are extremely competitive; but if you do manage it, you're well on your way to becoming a member of the National Panhellenic Conference.
Be aware that it takes years of being a member before you'll even be considered for President. There's a reason that they're always around fifty years old.