I'm not entirely sure these chords are right because I trusted my ear, but they should be good enough.
I had to keep listening to the video Rebecca Sugar posted on Tumblr to get it.
As for the lyrics...they're close enough.
G G7 C
I know you just want to give your little girl the world
G G7 C
But daddy, I'm not just your little girl
Cm G
I've got my own life, I've got my own plans
G7 C
I hope you understand and like the way that I am
Cm G
Cause I want your respect and I want to be here
G7 C Cm G
But I don't want to rule the Nightosphere...