You only gets "points" through your motor vehicle administration--which are then available for your insurance company to see. Since you did not commit a traffic violation for your accident, no points were assessed.
Now, if you submit a claim for this damage, your insurance will most likely increase. My friend has USAA auto insurance. She lightly tapped a pole in our parking garage and got a dent/scrape on her rear quarter panel. Damage was $1200. She submitted a claim for it and they then raised her rates during the next renewal for submitting a claim. Only submit for a claim if the damage is very expensive.