Should a virgin get a pap smear?

Depends on her age. Current guidelines recommend that women get their first pap at the age of 21, even if they are sexually active prior to that. Exceptions (where it should be obtained before 21) are if the female is HIV positive, or on chronic immunosuppressive therapy for systemic lupus erythematosus (sle, lupus) or after organ transplantation.
Pap Smear. After age 21, every woman should have a pap smear! Whether or not you are sexually active, you should still watch for other problems such as the risk of cancer. Especially if you have cancer of any time in your family history. Hpv, or the virus that causes virtually all cervical cancer can alive spread by hands and mouths, so lack of true intercourse does not eliminate risk and a pap is needed.