I feel like I am going to turn into one of those crazy jealous girls
What's making you so jealous?
I feel like I can't compete with my girlfriend's accomplishments
Wanting to live up to someone's accomplishments can be both good motivation but also really toxic for you. Feeling too jealous will only lead you to toxic behavior and sabotaging your relationship so you definitely shouldn't do that.
WTF, I don't have time for this shit. I'm going to be one of those crazy jealous girls.
Your jealousy will only blind and consume you. Instead of thinking about living up to her accomplishments try to take it as her being a role model. You can still notice the achievements of others and admire them.