Start by just going to www.twiddla.com . It'll start you a new session with it's own address. You can give that address to anybody and then they can write on there.
It was fun and easy and there was no sign-up or accounts or what-all. I figured I'd let the program speak for itself...
/\ This is part of a map we made last night, with the location of the sleep-inducing plant marked by me...Here are some more examples and explanations, click to enlarge. The first screenshot is pretty much what appears as soon as you open a Twiddla session.



The arrows I drew pointing to the "draw tool" and the "grid tool" are no longer accurate since I opened the "text" tool, sorry. But they'll appear there if you hit "draw".