<a href=" http://www.mfcd.com/tomos_mopeds/provincial_laws.html">What province</a> do you live in? Here in Ontario (as with every province) you <b>definitely</b> require a driver's license of some sort (learner's permit is fine in Ontario).
What you said is one of the most troublesome urban myths you'll hear about mopeds. Uncle Carl may tell you that you don't need a license, registration, or insurance, but the cops seem to use a different set of rules...
You might want to double-check the laws in your province/territory.