No, it MAY be effective on 70% of cervical cancers caused by HPV, but even that number is misleading. Someone was telling me that it was effective 80% of the time. so 20% of that 70% will not be prevented at all, and women who get the shot will get cervical cancer anyways, in fact more likely because they will think they are immune and forgo regular pap testing. Just because you brush your teeth, do you stop going to the dentist? No. You brush your teeth as a preventitive step, but you can still get cavities. This vaccine does not prevent HPV. It does not warrant manditory vaccination at considerable cost. The only one it benefits is the drug maker, and shareholders, who get rich, and pass all liability off on the government.
It has been found to be 100% effective against cancers caused by HPV 16/18, which constitute 70% of cervical cancer cases. So no matter what someone was telling you, that someone doesn't know what's up. It is 99% effective against the two strains of genital warts it is intended to prevent.