I like her

How do you say 'I like her' (I believe it's like ' She is pleasing to me', not 'I love her') in Russian?

Yep.
Она мне нравится.

Okay, thanks, that's what I thought! If I change the word order, it should still mean the same, yes?

Она нравится мне

Only google translate says it means 'She likes me' now...

You are right, and Google is wrong. "Она нравится мне" still means "I like her"
She likes me = Я ей нравлюсь = Я нравлюсь ей = Ей нравлюсь я = etc. :)

I beat google! that's cool...

> If I change the word order, it should still mean the same, yes?
not quite! In Russian language, keyword is always in the end of the sentence.
e.g.:
Собака была у мальчика. (in this case this sentence about what a dog owner was a boy)
У мальчика была собака. (in this case this sentence about what the boy had a dog)

grafrich, you understand?