Your employer followed the IRS instructions for reporting payments to an independent contractor, i.e., to report payment for the work itself plus all "parts and materials".
What you do is put the total amount you received in income, and then put the expenses for which you were reimbursed in the appropriate expense category of Federal>>Income and Expenses>>Self-employment income and expenses.
You'll need TurboTax Online Self-Employed or TurboTax Download/CD Deluxe (or Home and Business). The version of TurboTax Download you need depends on what kind of expenses you have. If you start with the lower-priced Deluxe, you can upgrade to Home and Business if needed.