I've never had to use this one but this is the one I have, I got it when my pup was…still a pup. We take it on every hike and when we go camping (especially the ones we take our own first aid kid on). It basically just contains bandages and the like but it's nice and low profile.
Contents:
Other than the first aid guide (which you should be able to find online and print), these should all be relatively easy to get at your local drug store; toss it into a cute bag and you're set!
I highly recommend a ball-tipped scissors (I cut some pine goo out of my pup's fur with a pair). Maybe not to carry all the time but to have at home just in case.
Great gift idea!!