It's clear to me, from the blue particles underneath her, that she IS using some form of magic to move on the land via having water propell her because she can't use her fin to move on the ground comfortably.
However, she MAY be able to breathe air naturally (being a mermaid, which MAY qualify her to be amphibious) OR she may be having to use her own magic/Summoner magic to help her (we'll have to wait for the lore to see).
If I had to guess, though, I'd say that she's aquatic, as she lives all her life in the water (well, save for the game), with the ability to breathe air naturally (from her mermaid genes).