Hello Gary S,
Thank you for reaching out to Microsoft Community. My name is Marisol and I am happy to assist.
I can see your interest in understanding whether a sender will be notified if they are blocked from your Outlook account.
The answer is no, please note that when you block a sender's email address, they will not receive any notification indicating that they've been blocked. It's a client-side action, so to them, it will appear as though their emails are being sent and delivered to you normally, even though you won't receive them. Blocking a sender is a private action and does not trigger any alerts or notifications to the sender. Also, you will not receive any notifications if blocked senders sent any messages.
You may refer to check this link to learn more information: https://support.microsoft.com/office/a3ece97b-82f8-4a5e-9ac3-e92fa6427ae4.
I trust the above information has addressed your concern. If you have any more questions, I'm here to help.
Best regards, Marisol D.