I just got my upper denture today and it looks good but my upper lip is so puffy looking is that natural?

Since your denture is new, it is going to take your mouth a little time to get used to it. If you also just had your teeth extracted, there is going to be swelling for several days. All of these factors play into how you look with a new denture. Also the thickness of the actual denture may be part of this. Do not rush to judgment until you heal a little and get used to having the denture in your mouth. Keep a small journal of your experiences to share with the dentist. Let the dentist know what you think, what you feel and what others tell you. It will help them make sure the denture is fitting properly and looks good.

Yes im sure you will be fine in a couple of years