Had abnormal pap smear and then a colposcopy. Went back a year later and no abnormal cells present. Does this mean I have HPV?

You had HPV now gone. Abnormal cells of the cervix always means HPV; you can be sure you had HPV at the time of your abnormal pap and colposcopy. With your pap smear now normal, it is likely that the underlying HPV infection also has cleared up. Confirm with the doctor who treated you. Also ask her about getting vaccinated to reduce the risk of future infections with high-risk and wart-causing HPV strains. Good luck!