Do we have any Outlook experts?

I’m new to Microsoft Outlook, and generally enjoying the learning process there. I especially like the rules that can be set up to categorize, flag, sort, copy, forward and otherwise manage email messages. But what I’d like to learn how to do is apply certain rules to my Calendar, too, and I don’t see that as an option yet.

What I want to do in particular is create a rule that will automatically forward any “meeting” or “appointment” to my Gmail calendar, too, so that:
1. I won’t miss morning meetings that are set for earlier than my normal arrival time, and
2. I won’t decide to take an impromptu day off and not be aware of a meeting or appointment that I have scheduled for that day (whether at work or elsewhere) and that isn’t already in my Gmail calendar.

I don’t want to have to use my work laptop at home and sign in to the Exchange server here every night (which is another way to accomplish what I want, after all). I want to automate the Outlook meeting requests to duplicate on my personal calendar outside of the work environment. It doesn’t seem like that should be so difficult.

Does anyone have any good ideas for that? I specifically do not want to attempt a manual duplication, cut-and-paste or forward of every meeting to my Gmail account.