Yes, it will show up on your California driving record and you will also receive a point for this New York seat belt ticket for your child not being properly restrained.

Both New York and California are members of the Drivers License Compact (DLC) so this offense will be reported from the NYS courts back to the CA Department of Motor Vehicles if you are convicted of it.

California courts and DMV are very serious when children under 16 are not properly secured in a vehicle. If cited for a child passenger seat restraint not being used, drivers may receive one “point count” on their driving record in CA. This is for in state or out of state violations.

If the ticket had been for you not wearing a seat belt then it still would have been placed on your CA driving record but no points would be assigned.

Since this out of state child seat belt restraint violation will be placed on your CA driver's license, unless you fight it and are not convicted, your insurance company will see it the next time they pull your MVR. While many insurance carriers find this to be a minor infraction of the law but ultimately it will be up to your insurance company's rating system to determine if your rates will go up,

You can ask your agent about your auto insurer's rating system and how this New York State ticket may affect your premiums. If you find out that your rates will rise due to your driving record, including this citation, you may want to comparison shop for auto insurance to look for better rates.