No, you won't be notified.

You can find more details about mail dispatch and status as follows:

  1. Click on "Emails"
  2. Select the mail you want to check
  3. Click on "Logs"
  4. Download the Excel (click on the green download icon in the top right corner)
  5. Under Status, you can see which mail addresses failed to be sent.

Click HERE for more details on email statistics.