Nope, i only received my NOA by mail with my case # on Wednesday (12/14). So by the time I typed it in, it already said "Case is Being Actively Reviewed By USCIS", updated on 12/08.
You will receive a separated NOA, the Online Account Access Notice, with an unique Online Access Code (expires in 90 days) to add your N-400 case through https://my.uscis.gov/account , then moving forward you'll be able to see n receive all the docs through your online portal.
BTW which state/city are you filing from? The speed can be vary depends on where you are.