It looks like a "circulator stove".
If it is a circulator it will be cast iron similar to a pot belly stove but has a tin/cast iron shell surrounding it and they usually don't have firebrick in them. "Warm Morning stoves have this design too but do have firebrick.
I have a circulator stove that's been in the family may years and I'm using it right now.
You can sit close to these stoves without getting too hot because the tin shell blocks radiant heat and causes almost all the heat to flow (circulate) straight up and it's nice because I have young children they won't get seriously burned if they accidentally touch it.
Before you buy one of these you should check closely for cracks in the cast iron and because of the tin shell it can be hard to see them.
A lot of these stoves have mica in the loading door protected by a metal screen so you can view the fire.