Yep, double is about right.
The two things where you'll instantly notice the difference are groceries and rent. Food is outrageously expensive here and the quality is far from what you'd be used to in the US. As a couple we can't do less than $150-180 a week and that's with me gone a few nights a week.
Rent in Sydney will cost between $400-650 a WEEK for a one bed apartment, depending on how close to the city you live.