It depends on what type of 1099 you have? If you are going to use TurboTax Online, you can start out in the Free version and upgrade only if necessary. That link will get you started.
If you are using TurboTax desktop, you can use any version, but you get more guidance in the program with the higher level editions. The link will give you more information.
Check this chart to see what version of TurboTax Online, that is required for your 1099 form; just type 1099 into the search bar after clicking the link.