Yes, you can file simple returns (1040EZ/1040A) with TurboTax Free Edition. You may need to upgrade to Deluxe or higher if you have a more complicated return.

By going to https://turbotax.intuit.com/personal-taxes/online/free-edition.jsp and scrolling down to the Benefits tabs and choosing Tax Forms you'll see the forms supported by all of our products to help you decide which one is best for you.