The Ministry of Transportation (MTO) for Ontario, Canada the demerit points system available online and here it does not list points for novice drivers who violate the conditions on their class of licence so it would not appear that points are assessed.
As you mentioned drivers in Ontario holding G1, G2, M1 or M2 licenses must follow the specific rules for their class of licence. If you violate any of the graduated licensing conditions for your class of licence, your licence will be suspended for 30 days. This suspension takes effect from the time you surrender your licence on or after the date of the suspension. You can lose your licence for up to two years if you fail to hand over your licence.
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Since your G1 license would be suspended if you are found driving along, against one of the restrictions of your class of license, it would be doubtful that demerit points would also be assessed since one of the reasons points are placed on a person's driving record is so if the driver accumulates too many their license is suspended. With the penalty of a suspension already in place the points do not seem necessary.
[Let CarInsurance.com help you find affordable auto insurance now.] To find out if the MTO assigns demerit points for offenses other then those listed on their online points system contact the MTO directly. | 
