Displaying to Alternate Screens
There are different types of adapters that you may wish to purchase to connect your iPad to televisions or monitors.
Apple VGA Adapter
This adapter lets you display slides, movies, and photos from your iPad2 onto a VGA-equipped television, monitor, or external projector. This adapter must be connected before you start the VGA-equipped device. It only supports video out for iPad, iPhone, or iPod touch.
If you are more adventurous, CNET provides instructions on jailbreaking your iPad and what app to add to be able to mirror anything from your iPad to the screen of your choice using the VGA adapter.
For more information on jailbreaking your iOS device, you can check LifeHacker, which keeps an up-to-date list of what to use based on your iOS version.
Apple Digital AV Adapter
This adapter connects your iPad2 to a HDTV and mirrors exactly what you see on the iPad2's screen. Videos played this way will display on the TV and not on the iPad2; only the video controls will display on the iPad. This adapter utilizes the HDMI connection, so could be used with other HDMI devices. It will also support video out for iPad, iPhone, or iPod Touch. We recommend that you orient the iPad in landscape position to take advantage of the size of the TV screen. Reviews of this adapater indicate that you won't want to change the orientation of the iPad while it's displaying as that interrupts the display.