As usual with new Apple products, iFixit has done a complete teardown of the iPad mini. Like previous iPads, the mini isn’t very easy to get into. The glass is held on with glue, and must be heated before it can be opened. But once it’s opened, it’s much easier to repair than other iPads.
For complete instructions and details, head on over to iFixit. They also have lots of high resolution images of the process.