First, if you efiled, be sure your efiled return was accepted. If using Online TurboTax, you can check at the Tax Home page.
If that showed your return was accepted, you can track your Federal refund at the IRS "Where's My Refund" tool:
https://www.irs.gov/refunds
If you filed a paper return by mail, it can take up to 4 weeks just to show up in that tool.
The FAQ below tells how to check on a state refund. When you scroll down further there, you will see a link for your state.
FAQ: How do I track my state refund?
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-refund/track-state-refund/L3jgO8PGs_...