I have created a category to denote when someone is unavailable.
How can I get this to show up in Google Calendar with it showing up in my Website Widget as well.? I don't want it to be publically seen.
Every event has a Public checkbox on its edit page, which is off by default. You can simply leave this off for the "unavailable" events. It will still appear in the iCal sync because that is not meant to be public.