As an independent driver for a delivery service, you would enter your income on Schedule C for business income and expenses and claim any expenses that you had related to the work you performed. If you received a Form 1099-MISC showing your income, you would enter it into your return, otherwise you can report your income as 'cash'.
See the following TurboTax articles for more information:
Am I considered self-employed?
How do I report income from self-employment?
What self-employed expenses can I deduct?
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