There can be some serious adverse effects (some of which are long-term). There is a process to report adverse events to the FDA but I do not know if they "accept" all reports. We do not get full disclosure of a lot of things medical so it seems that would also apply to vaccines. It is important that we do our research since we are the ones who have to live with the after effects. These links may be helpful in making this decision:
http://www.fda.gov/BiologicsBloodVaccines/SafetyAvailability/VaccineSafety/ucm179549.htm
http://www.fdanews.com/articles/99624-gardasil-adverse-events-include-deaths-seizures-judicial-watch-says
I got it, and it's a good idea if you haven't already been sexually active with either a partner who has had other partners or with multiple partners yourself. HPV is a leading cause of cervical cancer, so anything to help prevent it is certainly not a bad idea.