Flowers done, fruits forming. The white "petals" are actually bracts surrounding a cluster of tiny individual flowers.
Fruit forming in July.
Ripe fruits in July. These berries are edible. However, they are hardly worth the effort, as they contain a very large and very hard single seed. The fruit pulp sticks tenaciously to this seed, and it's very difficult to separate.
Bunchberry make a great ground cover, if you are into native plant gardening and naturalizing your property.