I have not really heard of our licenses being referred to as a CDL, but in Australia there are different categories of license, primarily based on weight and type of vehicle, not that this is really pertinent to the questions being asked.
yep, in Canada a CDL, Commercial Drivers License, is a Class One, which lets you drive anything except a school bus which needs a Class Two. 3 Axle Straight Trucks, not articulated need a Class Three plus AiR Brake Endorsement and to drive a Taxi, Ambulance, Limo, you need a Class Four.... technically a chauffeurs license.
Class Five is the one everyone has. Class Six is a Learners License which is a graduated license with restrictions for the first two years regardless of age and finally Class Seven for motorcycles capable of more than 18mph....... E-Bikes in Canada are limited to 30kph/18mph.... not new since mopeds in the 1960s faced the same speed restrictions. Anything faster, gas or electric and you need the Class Seven License, plus insurance and registration for the bike.
ps, these are all Provincial, not National Regulations. Canada also has some of the heaviest highway trucks with 8 axles, 63,500KGs, 139,500LBs.... when I drove these 25 years ago I had a 14L Diesel, 435 HP thru an 18 speed. Today most Super Bees have 600 HP.
But for International visitors, we often accept a foreign license.... altho with limitations for weight.