I took these pictures a few days ago while walking in my neighborhood. I really like the way the little blossoms are scattered through the grass, so different from the manicured lawns one usually sees around here.
My good friend Ellen rose to the challenge and identified this plant as the starflower.
Native to Argentina and Uruguay, spring starflower features grass-like foliage and solitary star-shaped flowers on 6” tall stems in early spring. Each bulb produces multiple flowering stems. Flowers range in color from almost white to violet blue. Flowers have a mild spicy fragrance, and the foliage when bruised emits an oniony aroma. Synonymous with and formerly known as Triteleia uniflora.
So to answer my question, it's a flower.