Unfortunately TurboTax gets no information about the status of your refund.
In normal times, the IRS says that most filers get their refunds within 21 days from the time their tax return is accepted.
Many returns are taking longer now since the IRS did not process returns for a while and there is now a big backlog of unprocessed returns.
The IRS has started reopening offices and processing centers and are starting to process mailed returns again after not processing any for several weeks.
They are now taking phone calls with a limited staff but it's hard to get through.
After the IRS starts processing your return, you will be able to track it on the IRS web site:
https://www.irs.gov/refunds
Here is an IRS Q&A with information about refunds:
https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions
