Advice needed

I recently saw my live-in boyfriends recent FB Searches cause I went on his phone to see a profile of someone that blocked me (I'm off to a great start, I know 😁) his recent searches included 2 girls he's hooked up with (years ago). I know he's not cheating but he obviously thought about them enough to fb stalk them. Should I be worried? I'd be a hypocrite If I said I've never done the same, I guess I just know I would never take it further but he cheated in his last relationship. Heelllp.