Yes. This is the original porcelain. They also made them in pink (oooohhhh), pastel blue, mint green (most of those have copper handles- very pretty, red, black and white. And copper- those are great, but I imagine a real pain to keep clean.
The top on this one has been rechromed, because it was really worn, but the rest is just cleaned up and totally original.
When buying an old stove, though it seems counter-intuitive, it's better to buy a really greasy one than a really clean dry one. the grease protects it from rust. This one has been fried on every day of its last life. The insides were encrusted with grease. Disgusting, but it cleaned up great, and there was no rust.