Clarified butter and ghee are not exactly the same. Ghee is clarified butter that has been cooked longer to remove all the moisture, and the milk solids are browned (caramelized) in the fat and then strained out.
But you're right, all the moisture is evaporated out, and the solids skimmed. What remains is pure butterfat, great for frying, high smoking point, pretty good Vitamin A (if it's from grass-fed cows), no lactose (if that's an issue) and no refrigeration needed.