Outlook to Gmail forwarding?

I've set up forwarding from my work computer (a PC using Microsoft Outlook) to my home computer (a Macbook using Gmail). It seems to work okay, but when I press reply, the To field has my work address rather than the original sender's address. Also, I don't like that messages have the "FW:Subject" format.

Is there any way to integrate Outlook into Gmail so this doesn't happen? I basically want Outlook to be an alias, just like it would be if I were forwarding between two Gmail accounts.