It is Snowbush (Breynia disticha). I think they are very pretty but they will not survive winters in north Florida. It can be invasive in South Florida via both seeds and roots.

Carol in Jacksonville

Jane
welcome to florida where many of those cute little house plants turn into monsters lol Snow bush is certainly a bit more attractive than say syngonium. i remove at least 3 bushels a week from an original 3 inch pot lol at least snowbush stays somewhat attractive as it grows
there are many others about all you can do is pull them up and carefully research what you plant??
good luck gary

Thanks all! Yes Gary, these pop up everywhere, yet I've yet to see any flowers. I thought they might be spreading by underground runners, but it doesn't appear that way.

If you notice, in the photo, there are ferns which also pop up all over the place, even growing on the side of my date Palm. I keep pulling them and they keep returning.

But the bushes are tough to dig up.

Jane

Jane,
Snow bush does bloom in the summertime, but the flowers are very tiny and hard to see unless you look very closely.

Linda Leaf

I love my Snowbush! I haven't had it travel too much, either. *shrug* Must be the location?