Is it normal that my girlfriend likes seeing her scars?

First off, I think it's great of you to want to help your girlfriend. A lot of people wouldn't go to this length to help. [ive never had anyone do it for me] so I think your awesome.

Second, I would just be there for her and listen, really listen with an open mind and open heart. Try your best to encourage her and ask her if there are any other alternatives.

As far as if its normal that she likes to see her scars, I say yes, because as a former cutter, I like to look at my scars and notice that here there. I'm not sure why, but it makes me feel better. Like I remember those dark days and it makes my present day feel not as dark.
[I know I'm not making sense, but I'm trying]

Good luck to both of you!

Personally I think it's normal. Cutting can be a way of coping when you feel things are out of your control. Cutting becomes something you can control. To see the scars proves you have control over something. Like Karmasbitch said, it can remind you of the dark days you had and how you've overcome. (Personally, I don't see that in your girlfriend's case because she still wants to use cutting as a method of coping.) Coming from personal experience, maybe she sees these scars as something that legitimizes her emotion, as if she didn't have these scars her pain was not valid. Perhaps she finds the scars physically appealing.

Though cutting isn't a normal tendency in everyone, I think her liking her scars is very normal for cutters.

It's normal for someone suffering with Borderline Personality Disorder.

You all could etch things into her arms together! Look at this as an opportunity to bond and grow.