Laser hair removal treatments can only affect hairs in their growth phase. If you still see hair, it could be that not enough time has passed for the treated hairs to grow themselves out and shed away, or it could be that the hairs you see were not in their active growth phase at the time of your treatment.
Results manifest differently for different people. You should not try to assess your results until you’ve undergone a few treatments, and given your body ample time to slough away the destroyed hair-follicles.
After your treatment, the affected hair-follicles will continue to grow until they reach their peak, at which point they will simply fall out and never regrow.
Once the hairs fall out, it is possible to be left with little dark-remnants of the root’s sheath. Although these take a little longer to grow themselves out, do not worry — these too will eventually disappear.