I believe there is no way to connect to Outlook (the client application), because of the sand-boxing of windows 8 style apps.
Have you found any Documentation or API for your need in Outlook? That would be my first step. If outlook has no way to let you integrate, you don't even have to look at connecting to that API from a Windows-8-Style-App.
Of course, you could also walk the other way and implement what ever you would like by connecting directly to the server using the EAS protocol, however this will be a lot of work and pretty difficult.