June Weather in Grand Marais Minnesota United StatesWeather at the heart of Grand Marais, Minnesota is consistently varying. Whether fair or overcast, you can expect a selection of climate conditions during the year. Beginning in the beautiful springtime flowers blossoming to the balmy and sun-soaked summertime days, to the scenic autumn foliage, and the wintry landscapes during winter, Grand Marais, Minnesota provides a varied range of weather experiences during the year.