It's tough to fully describe Launch Center Pro to an average iOS user. It's an app and, more importantly, action launcher for your iPhone or iPad. It's an app that should live in the dock of every user that owns one of these devices.
- For a beginner tutorial, check the MacStories comprehensive guide of LCP
After that, do yourself a favor and simply search the web for actions that have been shared by the various users of the service -- Twitter is actually a great place to start.
Today's 2.3 update rolled many more features, including a connector with IFTTT to open up LCP to wide array of web tasks already supported by that service. As always, Federico has the scoop on what's available, and possible, after this update. I'm sure there will be many more examples to come.
Seriously, buy this today if you haven't already. Just dig in and have fun.