You should not feel any pain during the procedure but if you do, you can raise your hand to let your dentist know. He or she can stop and possibly administer more anesthetic to further numb the area.
Following the procedure to attach your combination dental crown, you may feel some soreness in your face, jaw and around the tooth. The discomfort could increase once the numbness from the anesthesia wears off. But otherwise, you should not feel any pain where the crown is attached. Your dentist may prescribe you pain killers for the few days following the procedure or suggest an over-the-counter pain reliever.
If the tooth that's been crowned has never had a root canal in it, this means the tooth will still have a nerve. This means you will have feeling in that tooth, so you may have temporary sensitivity to cold for awhile after the procedure.