You can't apply online for the permit. You can print the document and mail it in(as far as my search on there showed).
Thanks for posting this, as I have had my permit for three years, but let it lapse last year because I didn't have anything to sell(lousy egg year). I'll have to reapply for mine.
Make sure you have your "escape plan" written up and kept handy in case they ask to see it.