I looked it up for you, and yes, it is called "California Pepper Tree", but is also known as "Mastic Tree", and it's latin name, then there will be no confusion at all when buying it is "Schinus Molle".
Have fun with your trees!!
Whenever we have planted a new tree in our yard, we have planted in the name of someone special in our lives, and then that's what the tree gets called after that. So if someone asked me what tree is that?, they might get told, oh, that's Lelia!