Does gardasil or cervarix will last forever and no repeat shot needed?

Hard to say. Viral vaccines have a good track record for lasting a long time, compared to bacterial vaccines like the whooping cough or tetanus, which need boosters.To say yes, we will need realtime data from the user population decades after the initial series was completed.The inital HPV vaccines were appropved for general use in 2006, and data to date looks good, but only time will tell.
HPV. Schedule for hpv shots x 3 are usually was is needed right now. We do not know if there is any revision in the future.