Her parents have dreams and intentions for Grete and it seems like Grete will become the new Gregor. Gregor was not able to fulfill the dreams of his parents so now the dreams become Grete's.
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In a sense she does. Grete undergoes her own metamorphosis from girl to woman. She has her own job and is ready for marriage by the end of the story.
No, she doesn't. In fact, the family becomes somewhat normal and finally seeing how Grete has grown makes them realize it's about time for her to marry.
I think that unlike Gregor, Grete has an escape. She is pretty and good marriage material.