In order to actually sit down for this test (which it only takes 20 minutes in front of the computer) you need to first make an appointment, then go to the motor vehicle department and THEN there make the real appointment for the test. For the first appointment there can be 1 or 2 months wait. To sit down in the computer 2 or 3 months.
No one ever will answer the telephone, as a matter of fact all the contacts in the official website are incorrect (the mail address does not exist and the phone number is actually missing a digit). If you show up at the department, no one would actually talk to you if you do not have an appointment, even if the office is empty. If you actually manage to talk to someone they will say that they can't do anything, that everything is with appointment from the website and refuse to help you, they might even treat you rudely as if you were the cause of the problem.
To make any appointment, you need to log in in a crappy site and manually click each day in the calendar until you get lucky and find a day that is free for selection. So if from today two months in time there is an empty slot, you need to click 60 times the calendar.
If you have read "The Trial" by Kafka, this is 100 times worst.
One last thing that goes beyond comprehension. If you come from Argentina (like I do) and you have a valid driver's licence you can get the Italian one by some paperwork only before you get residency but not AFTER. If you want the licence after getting residency, you need to go through this hell.