I just had a unilateral laparoscopic oophorectomy done. how will my menstrual cycles be now?

No change : As long as your other ovary is functioning normal you should not see any difference in your menstrual cycles. The other ovary will produce all of the normal hormone levels.

Normal: The stress of surgery or removal of a cyst may throw off the first cycle, but then you should return to a normal monthly pattern. As long as you have one healthy ovary, you will ovulate once a month. You will go through menopause at the same age you would have if you had 2 ovaries.