It depends on the refund method that you selected. If you selected direct deposit as your refund method, you can contact the bank to confirm the deposit. If you selected the Turbo Visa prepaid card as your refund method, you would call the number on the back of the card to verify. The only refund option is check by mail. So you would know if you received the check.
You can begin by tracking your refund(s). You can track your refund via Where's My Refund at www.irs.gov/refunds.
Here is an FAQ with instructions on how to track your state refund:
https://ttlc.intuit.com/replies/3300211
https://ttlc.intuit.com/replies/3288568
