Well, first of all, it makes for long titles on forums. He.
What happens with the Cybook is that you're stuck on the last page you've read (somewhat distressing if that happens to be one of the last pages of a mystery novel ...) and none of the buttons is working any longer (not even the power off or the reset button). But this is no reason to panic! Connecting the reader to a power source for a few moments will give it enough energy to enable you to switch it off properly before you connect it again to the power source.
And if you had planned to spent a nice, cozy afternoon with reading and sipping tea ... well ... there are still print books, no? Or you might want to clean your flat or go for a nice, long walk. Taking a walk is supposed to be terribly healthy. Or so I've heard.