I'm a makeup artist for a company & received a 1099MISC which I filed. I kept receipts from supplies & want to write them off as well as miles traveled, how do I do it?

"I'm a makeup artist for a company" sounds like you're an employee.  But, "received a 1099MISC which I filed" means you are self employed. 

Although it may be news to you that you “have a business” (and most of the other people who get their first 1099-MISC); The IRS considers anything in box 7 of 1099-MISC to be self employment income. Enter the 1099-Misc income, at Other Common income / income from a 1099-MISC . TurboTax (TT) will complete Schedule C (or C-EZ)

for you and allow you to deduct any expenses associated with this income.  The expenses, as well as the income, go on Schedule C.

Self-Employed expenses of any amount will  require the  TurboTax Online Self-Employed version

Enter the expenses, In TurboTax,  at:

You'll also have to pay self employment tax (social security & Medicare) on any profits greater than $400. These types of payments are frequently done this way. Your "employer" is not the only one.

The self employed get to deduct expenses like supplies and mileage. Employees do not.