S.H.
I'm afraid I can't offer much advice on this, other than to say that we have the same problem. My parents have 4 dogs. A couple of them are getting old, and one of those actually bit me several years ago when I startled him. So now we are very careful around him. The other 3 don't much like my daughter either. They will either run away or growl at her. Sometimes they will snap at her.
No matter how many times we have firmly said "no" to my daughter and pulled her away from the dogs, she just thinks its funny and goes back to the dog! And we've been fighting this ever since she was able to crawl! (She's 16 months now)
We just make sure that we keep an eye on her and never leave her alone with the dogs. This is a big task when there are 4 dogs!! We also continue to reinforce that she is not to bother the dogs. We continue to tell her "no" and pull her away. I think it's gotten a little better, tho I'm not sure if it's my daughter learning a little or some of the dogs are becoming a little more tolerant of her (or both!).
I'm sure your daughter will eventually understand. Just keep telling her that the dog does not like her climbing on him, it hurts him, or he's sleeping so don't bother him, etc.
We were actually lucky enough to adopt a dog from the Humane Society that LETS my daughter squeeze & hug & lay all over him! And he returns the love by licking my daughter all over her face!