I had regular periods before I started the pill 2 years ago. I went off the pill in April and didn't have a period from April until August.
Different women react differently to the pill.
It partly depends on which pill and what dosage you were on. For some women, the body acts like you have miscarried and you ovulate right away when you stop taking it. For others, the body acts as though you have just had a baby and your periods are supressed for a while. You sound like the second person. There are other things that can cause you to miss periods, so I would talk to your doctor and perhaps have a check-up.