How to Make It
In a small saucepan, combine the green garlic and olive oil and bring to a simmer. Cook over low heat until the garlic is very tender, about 10 minutes. Remove the pan from the heat and let cool completely. Strain the oil into a small bowl; transfer the green garlic to a medium bowl. Add the lemon juice and dill and slowly whisk in the reserved oil until well blended. Season with salt and pepper.
In a bowl, toss the snap peas with 3/4 cup of the vinaigrette. Transfer to a platter and scatter the mushrooms on top. Garnish with the mint and serve with the remaining vinaigrette.