Cuihu is a famous park in Kunming, surrounded by many gourmet restaurants. The following are some worth recommending:

1. Yunnan Provincial Museum Restaurant: Located in the Yunnan Provincial Museum near Green Lake, it provides authentic Yunnan-style dishes, such as Cross-Bridge Rice Noodles, Casserole Chicken, etc.

2. Cuihu Hotel Restaurant: Located in Cuihu Hotel near Cuihu, it provides a variety of high-end catering services, such as buffets, Western food, Chinese food, etc.

3. Cuihu Park Snack Street: There are many snack bars and restaurants on the snack street in Cuihu Park. Among them, there is a restaurant called "Snack City" that provides various Yunnan snacks, such as glutinous rice balls, glutinous rice cakes, hot and sour noodles, etc.

4. Panlong River: Panlong River is a river near Cuihu Park. There are many snack bars and restaurants along the river. Among them, there is a restaurant called "Jiangbian Chengwai", which offers a variety of Yunnan-style dishes and hot pot.

To sum up, there are many gourmet restaurants around Green Lake, and you can choose according to your taste and needs.