Instead of a flat Camera Roll, photos are automatically grouped into moments, collections, and years. For example, under Photos, tap on a year, and it springs out to collections of images shot at a specific place and time. Tap to enlarge that view and then select the image you want to open. Swipe to see each image in the collection in sequence.
The albums view shows you the familiar camera roll, while Panoramas and videos are automatically separated into their own albums.
Sharing also got easier in iOS 7: Tap to bring up the Share sheet, and then survey the usual options. However, if you want to share with the people around you, you can now share via AirDrop with secure P2P Wi-Fi.
Finally, there's iCloud Shared Streams (Shared Photo Streams) that will let multiple people contribute photos to a collection. They can add images and video into the stream, and you'll also be able to see what friends and family have posted recently in the Shared Streams' new Activity view.
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