score:2
There is a lounge, but the airport website doesn't seem to mention it...
It's a third party lounge, the Reef Lounge.
Cathay Pacific offer their status + business class customers access to it, as apparently do JetStar for their Economy Starter Max and Business Max passengers.
You can also get access to the lounge with a Priority Pass card. The Priority Pass website has quite a lot of details on it, but I can't work out how to link to the page, so you'll need to start on the homepage, pick Australia + Cairns + Reef Lounge to see all about it!