Ovarian cysts in women before menopause are common and often physiological. These usually resolve on their own. Whether you need surgery or not would depend on the size and type of cyst and if it is causing any symptoms.
Yes , most surgeries for ovarian cysts are done using laparoscopy (key hole). Large cysts or if their are concerns about possible cancer then open surgery would be recommended.
If the surgery was completed using laprosocpy , you would expect to return to normal activities with 2-3 weeks. If it was open surgery, it can take 6 weeks.