I just looked at their website, www.easternstar.org.
I see they do charity work. Perhaps their membership is dwindling, as it looks like an organization that, unless your parent was one, someone might not see the benefits of belonging to something like that. I see they have luncheons and other events. I see there are chapters and a formal structure, and they probably look to people to volunteer to help (volunteers for committees for events, fundraising, etc.). Like any other political organization (political in that they have officers that are elected), one can move up through the ranks. Politics is a weird thing, and it takes a certain kind of person to handle being an officer. Maybe that’s not for you, maybe you’d just be into being a regular member and not an officer, but either way, you’d probably be asked to help out by volunteering for the committees and stuff like that.
Personally, it doesn’t look like an organization that would appeal to me but maybe you’d feel differently. I see some old, stuffy looking people in the photos of the officers, and I feel I have little in common with them. Maybe they are lots of fun, who knows. I’d find fun in my free time, not sitting in meetings and attending luncheons and stuff like that.