If your income from your part-time work is reported on a W-2, you will enter it under the "Wages & Income" section of the return as "Job (W-2)".
If you are self-employed and are reporting net income in excess of $400 you will need to file a Schedule C with your return. If you have both self-employment income and expenses to report, you would then need to upgrade to TurboTax Self-Employed Edition.
