I don't know of any iDevice app which has screensharing abilities. The sandboxing of apps on the iPad means that one app does not have any access to a display made by another App.
Apple's tool for remote administration of iPads is the Profile Manager service that comes as part of OS X Server. You can connect any number of iDevices to it and use it to install/remove apps, change configurations, and control what the user may or may not do with their device. Updates are automatically downloaded over the internet the next time the iDevice is connected to it: devices do not have to be returned to headquarters and physically plugged into the server.
http://www.apple.com/osx/server/features/#profile-manager
As well as the above, you can use this system to remotely lock (requiring a password you create at lock time) or wipe an iPad, useful if it is lost or stolen.