Entourage is seen as the counterpart of Outlook on a Mac and is part of
Office for the Mac. There are many other mail clients as well for a Mac.
How you need to transfer your mail depends on where you stored it. If in a
pst-file, then you'll have to export your mails in a format that the client
you are using on a Mac can understand it; probably csv. It requires a
working Outlook though, so you might want to ask a neighbor/relative/friend
to do this for you.