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.
Some press reports stated the IRS has started reopening offices and processing centers and are starting to process mailed returns again after not processing any for several weeks but no IRS press release has confirmed this.
They are now taking phone calls with a limited staff but it's hard to get through.
If you efiled your return, have you confirmed that the return was submitted by TurboTax and accepted by the IRS?
https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp
If accepted, what does the IRS tracking web site say about the status of your refund?
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
A stimulus payment date will not likely be set until the IRS completely processes your tax return. You can track the status at the portal: Get My Payment
See these Q&As for more info: Get My Payment Frequently Asked Questions | Internal Revenue Service
https://www.irs.gov/coronavirus/economic-impact-payment-information-center
