If your previous health insurance plan with your previous employer including dental insurance then in most cases you will be able to continue to receive dental insurance with COBRA.  When you receive your COBRA insurance election form, you will have to list what type of insurance you wish to continue with COBRA and who you want to be covered.  If you wish to continue to have your dental insurance, make sure to mark this on the form.  You will have to then pay the dental insurance premium along with the health insurance premium.