If cervical dysplasia is present long enough will it turn into cancer?

Not necessarily: Cervical dysplasia does not necessarily turn into cancer. Since we have no way of knowing which cases will turn out badly, it would be prudent to follow your doctor's advice regarding repeat testing and suggested treatment.

Yes: Dysplasia is usually indicative of early cancer process. Cervical dysplasia is a premalignant squamous changes of the cervix. There are different terminology system now used in pap and biopsy. Generally, it includes low- and high grade dysplasia, representing low and high risk of progessing to cancer respectively. If you have dysplasia, you should see gyn oncologist for eval and managment.

Rarely: Most cases of cervix dysplasia are due to hpv infection which is self limited and resolves all by itself. The chances of turning into cervix cancer are rare. You are advised to do follow up pap smears as advised by your gynecologist.