Start a new game with the "Environmentalist" Civic. This will give you access to the Ranger Lodge.
Play on a medium or larger map. You're looking for a system called Wenkwort. It is supposed to be a guaranteed spawn, but this is NOT true for smaller maps. I've always had it on medium. (Weirdly, it seems to almost always spawn on the left side of the map for me, but I don't know if that's just RNG).
You need to beat your opponents to the system. You could always play with zero empires, and just explore the galaxy until you find it, but if you're playing against AI you need to get there first. If they build anything or upgrade the capital on the planet you can't get the achievement and need to start over.
Colonize the planet with the "Wenkwort Gardens" modifier. There can be multiple planets in that system, but the right one will trigger dialogue with a robot. Agree to keep the planet pure.
Immediately declare it a resort world if you have access to the technology. Otherwise make sure to not build anything there/create districts or allow too many pops to resettle there and create unrest until you get the resort world tech. The "Technological Ascendancy" Ascension Perk increases the chances of rare Technologies occurring. Make the colony a resort.
Once the colony is a resort, build a ranger lodge and you should get the achievement.