You can complete a tax return such as you describe in TurboTax online Deluxe. The Deluxe program this year (2016) will handle simple Form 1099-MISC (self-employment) income, just as long as you don't have any expenses to also enter that would reduce the otherwise taxable $1,000 amount of income. And Deluxe online will, of course, handle W-2s for wage income. While the Free File version will accept W-2 income, it will not process Form 1099 issues.
That said, Deluxe may be appropriate for you, and is the least expensive "paid" version of the program we have. You would only need the TurboTax for Self-Employment version of the software if you have business expenses to deduct, and / or assets to depreciate. Otherwise, Deluxe should do for straightforward self-employment (1099-MISC) income.
If you have further questions, encounter any difficulties, or just want to speak with a live tax expert, please feel free to contact us. We would be happy to help you. To receive the best help on the general topic of which program version to use, you should ask for our "Shop & Buy" department. Here is a link where you can create a support ticket and reach us:
Thank you for asking this question, and for considering TurboTax.