kbryant,
I'm an expat aussie and I understand that as a non resident :
I have to file an australian tax return for australian real estate income (rent and capital gains if I sold), interest from australian bank accounts, trust income & unfranked share dividends.
Fully franked dividends don't need to be included in my return (but I also don't get any franking credits).
I don't have to pay tax on capital gains for shares bought and sold as a non resident, and I don't get benefits from any capital losses. When I become resident again, any shares I hold that I bought as non resident will be deemed to have been acquired on the day I return at the market price that day.
Of course, you should get professional advice for your particular situation.
Ferret