It doesn't sound like he's trains in anything, he's a fan of the sport and just happens to watch UFC - likely because they are the largest name. I don't think he was implying the sport itself was called UFC at all.
I can't really give you a lot of advice myself, I've never been a fan of watching sports and I only just started training. One of the biggest things I'm told is not to stress every detail of what you're doing, it's not about creating a scientific formula in your head it's about creating the instincts to react and it's usually pretty straight forward.
The guys I train with might not be the technical type of fighter that you're looking for advice from either.