At most prior companies I have, but at this company, admins aren't allowed access to their boss's emails. So he has to handle it all himself. It's a big pain in the neck since people periodically forget to copy me with things I need to know about and my boss is not good about sharing that way.
Same thing here. My previous boss allowed me full rights to his email -- to the point that I could send emails under his name. This boss handles his own -- his choice -- and I run into the same problems that Marie has regarding not getting information I need. Makes for some interesting situations. He's working on cc'ing me on his replies at least. That's a first step.