The 5-Hour Baby Sweater
is an easy first sweater pattern. There are several other versions out there. I just made this version
only I changed the bottom a little bit and knit the sleeves in the round so I wouldn't have to sew the seam.
Quick Baby Sweater
I know you said little girl, but it might be easier to try a baby one first. It's always great to have a nice baby gift on hand. Good luck.