That's Croton (Codiaeum veriegatum). Never grown it so can't advise on its care, but it's a pretty common houseplant.

Strong light and don't let it stay too wet. They're quite easy.

My boss (in San Francisco) had a beautiful one in his office. I scolded him when I found out he was dumping his coffee into it, so he gave me the plant. It died.

Maybe it had a caffeine addiction, or, more likely, it liked the acidity of the coffee or his lack of fussyness. (Or maybe it just liked him better than me. No accounting for tastes.)

I have a few outdoors here; they do OK despite me. Lots of acidic rain, acidic soil that drains well.