unfortunately, that's not possible through the iOS app or the mobile site right now, but you could try to access the regular web app through your iPad's browser using this address: http://todoist.com/m/forceRegular and then query "viewall" or "va".
I would like to be able to see my todoist tasks in the tasks application that comes with the iPad 3. I don't like having to see tasks online because it is an iPad 3 with just wifi and I am not always close to a wifi connection.
both our mobile site http://todoist.com/m and our current iOS app are fully offline compatible and you can access your task list anytime and synchronize them later once you're connected to the internet.
We will soon release a new iOS app which will also be accessible offiline. You can help us make it as best as possible by signing up for the upcoming beta testing: http://todoist.com/mobile_testing