I assumed that the best place to start when looking at the aesthetic elements of IOS7 was apple's website, and even when filtering out excessive sales pitches throughout, left some good information on the foundations of it.
I thought I'd document some practical use on my own iPhone 5, from the lock screen to the unlocking screen, an opaque sheet of white slides over the screen more and more until the screen has switched, this blurs out the background wallpaper and gives a sense of a new dimension on top of the screen.
The tool bar at the bottom of the screen has this same effect behind it to separate it from the rest of the apps.
When you start up an updated IOS7 app, the first thing you see on all of them is a landing page, this will either consist of a high resolution photo with a logo on top or just a logo, this works as a gateway to the app whilst it loads properly. Here are some examples:
This is a good example of an IOS7 application taking advantage of the whole phone's screen and not filling it with buttons and toolbars (Authentic Weather). This is really stripping back the IOS as we knew it which is a huge benefit to the system and usability. Every page you get to from here has to be swiped to, from the top, either side or bottom.
More and more apps are following this rule of swiping as methods of navigation to fit in with the new IOS7 but also to take advantage of the whole screen for legibility and ease of use. If we were to design an application for IOS7 we would have to keep these elements in mind to allow it to flow more naturally with the OS.