See the full footage here: Winston (kitty) takes care of Zeke (puppy) 

  "Zeke just got home from the vet — being allergic to certain grasses, he broke out in hives and they gave him steroid and benadryl shots. This is Winston, loving and taking care of him"

A cats purr vibrates at a frequency that promotes bone health and aids in healing. So the kitty is probably trying to purr him better.

Kitty is using healing energy <3