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She thinks she's a kitty? xD

Tried turning the faucet on and see if she reacts? xD

well I could think of a few reasons.
1 the pup is trying to get a drink from the running water. my land lords cats due that from time to time despite there water bowl being filled or still having a good amount of water in it.
2 if she just learned to jump then she may just be trying to check it out as it is in a since a new place she can now go but may be having a hard time getting up too it. (In which case like the first reason training to keep her down will be needed unless you want her to keep doing it.)
3 Something to get your attention. (If this is the case just call her and then pet her when she comes to you. If she stops doing it after a few minutes it is more then likely the reason she is doing it.)