It is normal to feel hurt for the eyes when you see the bright light suddenly. At this time, your pupil will be reduced at the diameter. Pupil is small round hole of the iris center from an animal or person in the eyes. When the light comes into the eyes through the channel, the iris smooth muscle will be expanse. It can make the pupil diameter become reduced or get amplification, controlling the pupillary light. When you see the bright lights suddenly, it may hurt your cornea. That is why you feel the hurt. However, you'd better have a check on the eyes to see whether it gets the inflammation. Once your eyes get the inflammation, you will feel hurt when seeing the bright lights immediately.