Paying car insurance monthly does not build credit.
You can pay your car insurance, monthly every few months or annually or whichever way you prefer or what ever way your insurance company allows you to pay.
Car insurance or auto insurance will not build your credit.
Although if you do default on your monthly car or auto insurance payments it may or may not lower your credit score.
Although defaulting on your car insurance or auto insurance payments can lead to a lower insurance score which can make you pay higher car or auto insurance premiums.
But paying monthly, yearly every few months etc has no effect on your credit score.
I prefer to pay my auto insurance or car insurance yearly though as I pay it once a year and don't have to worry about forgetting to pay the auto insurance.
I have done that before and only found out when I got pulled over and I thought I had current auto insurance but a few months went by and I was canceled.
So now I pay the auto insurance yearly so I ensure I have auto insurance.