OK. I finally found an IE10 icon that opened it up in Metro mode. The virtual keyboard appears and disappears as expected. It would be really nice if there was a single icon that when clicked would change the operating mode (desktop - surface, surface - desktop).
There is. You can touch the desktop button to go to desktop from the Start screen and you can touch the Windows bezel button to go back to the Start screen. There are also other options such as the Windows key on the keyboard, multi-task swiping, Alt + tab and Win + tab to switch between the various apps and modes.
You may want to check out a couple of the threads here for navigating Windows 8 including the link in my sig and also watch some youtube videos if you need some help navigating.