My client runs a small business. This business has a small number of employees. For various reasons, my client would like to be able to have a copy of all of the emails sent from their employees BCC'd to them. The net effect here would be similar to the access they would have if they hosted their email through Exchange but the business is too small to make this a feasible option.

They are currently hosted through GoDaddy. I have not investigated it myself personally but apparently GoDaddy can do something along these lines for all incoming email but not for outgoing email.

Is there a way to set up email accounts for a particular domain to where a specified admin user could be copied on all outgoing email?

UPDATE:

I've modified the title to reflect that it's employees not just users who are the goal here.

Also I forgot to mention how they currently do email through GoDaddy - POP3. I think maybe IMAP is also possible through GoDaddy, not sure.

And yes, the bottom line here is to basically emulate a feature of a larger-class platform through a smaller, cheaper platform. Opinion-only answers should probably be relegated to the comments. For the sake of argument let's say that any legal requirements have been met.