Notification Center in iOS 7 is more than just alerts — each day it will let you know what's going on in your life and the world. But how much or how little is displayed is entirely up to you. Just head over to the Notification Center settings to toggle what you want to see.
The Notification Center doesn't just look different in iOS 7, it's better organized, too. New tabs automatically sort your alerts into what's happening today and what you missed, or you can check out everything at once like before. Clearing things by tapping on a little "X".