Can you cure hpv?

The virus itself cannot be treated however often the body can clear HPV on its own without any treatment. When it doesn't, treatment is directed at HPV-associated conditions such as pre-cancerous lesions, cancers or genital warts.

Regular cervical screening tests (pap smears) will detect changes in the cervical cells caused by HPV infection or to identify and monitor high-risk HPV strains.  

Even if you have HPV, it is still advisable to get the HPV vaccine to prevent reinfection and also to protect against other high-risk strains.

Read more about the HPV vaccine here.