Assuming the radiator fans are turning...
Behind the glove compartment is the interior fan
HVAC blower motor (looks like a hamster wheel), which has a little tray attached to it with a
resistor pack in it. The resistor is what takes the "blow air" signal and dials it back for speeds 1, 2, 3. Speed four is "wide open", which is what you have when the resistor pack is blown.
You can replace the resistor pack alone, but typically, it blows because there's too much resistance (e.g. bad bearings) on the hamster wheel. So best to replace both.
It's been a while since I fixed a Mk4 with this issue, and it wasn't a Beetle, but I don't remember it being too hard; some skinned knuckles from confined spaces IIRC, but doesn't require any fancy-pants tools to do the job.