Advice for someone kind of Jewish

It was casually dropped in conversation that my grandmother (mother’s mother) was a Jew… And while my mother is super not religious and doesn’t care, I feel pretty guilty and weird about it. Not at first, it was just a crazy family thing that we weren’t supposed to talk about. But after a few years, I keep feeling weird about it, because even though we aren’t Jewish, we kind of technically are. I’m 36 and I don’t necessarily want to be religiously Jewish but I feel like I should be doing something about this. I have never been to a Shabbat or anything, but more and more I feel bad about that. Like, now that I know, I’m obligated to at least look into it. If anyone has gone through anything similar, I would really appreciate books to read or something? I don’t know what to do but I feel like I should be doing something?