This achievement requires you to make the three improvements to Gwen's lodge on your ship. The quest that allows you to construct her lodge is the quest "Usonia 1."
One constructing the lodge you need to make three improvements which are as follows with resource costs.
Reading Corner: 5 Linen Fabric, 2 Maple Planks, 80 Glim
Bookcase: 2 Linen Fabric, 2 Maple Plank, 250 Glim
Wall Decorations: 4 Maple Logs, 120 Glim
Once constructing the third improvement, the achievement will unlock.