The spring agaricus comes up in the spring, and again in the fall, in the eastern US, and from late fall to early spring in California.
The meadow mushroom, A. campestris (the closest relative to the commercial mushroom), also a choice edible, is quite similar, but with a single ring; and it never appears in the spring.
The spring agaricus has a flavor similar to its relative, the commercial mushroom, but much more intense. Any cooking method works with this delicious species, which cooks in about 10-15 minutes.
Unfortunately, it becomes infested with insects the day after it comes up, so you have to collect it right away and prepare it the same day. Fortunately, it tends to appear in the same location year after year, spring and fall, after lots of rain.
I live in a garden apartment complex, and found one or two at a time growing outside my door after my fiancé and I moved in. After a year of patient waiting, there were days of torrential rain. A bumper crop appeared, but the day before, the co-op management had treated all the lawns with chemicals, and I had to leave pounds of choice fungi to rot.