The public can't see the member only events but yes, under events they can see the events that are available for the public. I don't think I have it in calendar form anywhere though. There's only a couple of items a year.
Though we can add more, like an event for scholarship application. That way the deadline would be obvious. Sales, Trivia, Craft & Career (maybe) and Scholarship are the only public "events" I can think of.