Woodburning and pyrography are essentially the same thing.
Both terms refer to the technique of burning designs onto the surface of the wood using a heated tool, typically a pen or stylus.
Some people may use the term “woodburning” to refer to a more basic style of burning, while “pyrography” which basically means writing with fire, may be used to refer to a more advanced or detailed style of burning. However, both terms can be used interchangeably to describe the art of burning designs onto wood.