That is an, "Oak," stove. That means it is a direct draft stove, designed for general use with wood or coal. Round Oaks were hugely popular in the mid west and the Round Oak stove is found in a plethora of designs and models. They were made for almost a half century and many people use and collect them. They are also very common.
This one, however; is pretty neat in that the base is perfectly round. Most stoves have a square base.
And to answer your question, no it is not a base burner.