Once TurboTax receives my refund, how long before it is transferred to my account?

TurboTax doesn't receive your refund. Depending on if you allowed them to take money from return for TT fees than it goes to a third party bank. Once they get their cut then they send your deposit 

Since Turbo Tax will not have the status of your refund, continue checking the Where’s My Federal Refund tool for updates. Updates are made daily, usually overnight. 

Please use this link to track your refund from the IRS. 

If you selected to have your Turbo Tax fees taken out of your refund, there is a charge. This link will provide more information on the Refund Processing Fee.