Giving birth at 36 weeks can be considered pre mature baby because mostly give birth 37 weeks above. However, if doctor needs to monitor baby after birth about day or two depending on baby health then youve got to stay little longer. I have my sister that go thru C Sect for last two pregnancies and baby was in nursery for few days. But of course they are healthy. Doctor just need to monitor them and make sure they are okay to go home. Need not worry about anything, just pray for safety of you and baby.