Turbotax might send you an email about accessing your tax return (the information you send to the government about your income and deductions).
Turbotax will never send you an email about your tax refund (money back from the government) because that is paid directly from the IRS to the bank you used, and Turbotax doesn't have access to that information. In some cases, you might use a Turbotax partner bank, but you still have to talk to the bank, because the tax program side does not have access to your banking information.
If you can be more clear on what exactly you are trying to figure out, we may be able to provide better advice.
