Melissa Peterman is very enjoyable as a host -- she just seems like the kind of person you'd like to hang around with... laid-back and funny, and when she chats with contestants to get to know them, you get the feeling that she's not just putting on the act because she's a game show host. I would definitely not call her a typical game show host, but what she does is, in my opinion, a perfect fit for this show. The interactions between her and the announcer are also often quite humorous.
As for the gameplay, I find it quite fun to play along with, and occasionally laugh along with when the contestants ask dumb questions or give dumb answers.
Not that I dislike trivia type shows, but there are so many of that type right now, so this is a nice change of pace from that. And it's also a good daytime show without the typical bombastic, high-energy hosts and music and wild audiences -- which, again, have their place, but which can be exhausting.
I'm hoping Person Place or Thing has a long run.