If I sent my form in the mail instead of e-filing, how long does it take for my return to come back to me or show up in my account?

If you mean your refund (not your return - it never comes back to you once you file, that's why you should print and save a copy of your return) - go to irs.gov and click on 'get my refund status'.

Do you mean your tax refund?

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 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

In the future, 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.