When should I receive my refund, the IRS has no info on my return? Date sent was 3/27/2020

Did you efile it or print and mail it yourself? If you chose to mail it, TurboTax doesn't mail it for you.

Here is where to confirm an efiled return: 

I Efile and it said it was accepted on the 27th of March

Make sure you are entering everything correctly to access it on the IRS web site: https://www.irs.gov/refunds

Here is an IRS Q&A about the process: https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions