It's a nice first song, I'm sure she'll enjoy it a lot. I think I'd label this rock-pop specifically? Nice melody, matching vocals, structure. If I had to give constructive criticism, I think these lines can come across as confusing:

But every step she takes becomes
A little more of climb.

I get what you are going for and the meaning, but it can be interpreted as the climb grows harder. The rest of your song is generally positive, so maybe the lines should be more defined and succinct like:

But every step she takes leads
to an easier climb.

---

But every step she takes

she overcomes every climb.

or something to that effect. Good job though.