Uterine contractions occur normally from early pregnancy
and they do not cause pain.When contractions are accompanied by pain and cervical dilatation, the labour starts.Since you have checkrd up with your doctor you need not worry.
When the labour starts you have contractions lasting for 45seconds, about 3 - 4 contractions in a minute. In the first pregnancy nearing the due date false pains are common.
You are nearing 37 weeks. So even if labour starts your baby will be mature enough.