Your filing options are in the FILE section of the program. You can e-file-which means to file electronically--or you can print sign and mail it in an envelope that you take to a mailbox. You cannot fax a tax return.
When you e-file your federal return you will receive two emails from TurboTax. The first one will say that your return was submitted. The second email will tell you if your federal return was accepted or rejected. If you e-filed a state return, there will be a third email to tell you if the state accepted or rejected your state return.
Or.....if you mail it
TurboTax will not know anything about your mailed return, and will continue to show “Ready to Mail” on your account. TurboTax will not know that you put your tax return in an envelope and took it to a mailbox. TurboTax does not get updates on mailed (or emailed) returns.
Wait about 4 weeks from when you mail a return and then you can check the status on the IRS site. https://www.irs.gov/refunds
State returns have to be mailed to the state.
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
If you mail a tax return (or a payment) to the IRS, it is a good idea to use a mailing service that will track it like UPS or certified mail so you will know it was received.