V.V.
Yes, it is normal. He is probably waking up because he is hungry based on your next question about dry diapers. Or he could be teething or just needs help getting back to sleep. He should wake up in the morning with a wet diaper and probably have a wet diaper every 2-3 hours during the day.
I'm not sure about how many ounces he should be eating per hour since I breastfeed.