Yes, I go to the school he said which is the one serving the embassy. It is the typical American high school and is exactly what you are going to see in the States. I have not studied Bulgarian at all for a long time now. Our system claims to be a mixture between the American and the Britsh one, but, if you know both, it won't take you much time to realize that it is the American one. Furthermore, in most of our classes we use GNAmE (General North American English) and all of my teachers are American/Canadian.
Homeworks are not bad...well actually depends on the class. Generally - not hard, but I am of the opinion that the school as a whole is times more difficult than the elite Bulgarian ones.