Unfortunately, the IRS will not notify you when your return was received or approved.
You can start checking the status of your return on the IRS website
Where's My Refund 4 weeks after mailing your return. It takes that amount of time for it to show up in their system. They do not provide an update to TurboTax for mailed returns as they would with e-filed returns.
You will want to call them if it’s been more than 6 weeks since you mailed and at that time, you can reach them at the IRS tax refund hotline at 800-829-4477, Monday - Friday, 7:00 a.m. to 11:30 p.m.