What is your question? If the person you work for does not issue a W-2 for you, then the person may be treating you as an independent contractor rather than an employee. If you earn more than $600, you should be receiving a 1099-MISC. If no 1099-MISC and no W-2, you will have to complete your tax return using your own records of how much income you received. You are allowed to enter expenses associated with being an independent self employed contractor. You would have to upgrade to the Self Employed version of TurboTax to enter expenses. Your income and expenses will end up on a Schedule C which is part of your form 1040 tax return.
If I am way off base on what you are asking, just ignore this and ask a more specific question.