I traveled to a university for a job interview. I paid the expenses out of pocket and then got a reimbursement. They sent me a 1099-NEC for this. Do I have to report it?

Yes, if you received a 1099-NEC, you report it as Self-Employment income on Schedule C (the IRS has a copy).

Click this link for info on Form 1099-NEC.

To report your income/expenses, type 'schedule c' in the Search area, then click on 'Jump to schedule c'.

Report your 1099-NEC as Business Income, then enter your corresponding Business Expenses against the income. If they are equal to or greater than the amount on your 1099-NEC, you will not have taxable Business Income.  Save your receipts.

This article gives detailed info on Reporting Business Income and Expenses.