She grew up to be a beautiful woman like her mother.
Literal
She [topic-は] grew-up [and-て] mother [like-のような] beautiful woman became.
母のような美しい女 uses のような to create a simile: 'a beautiful woman like her mother.' 女 (おんな) is a more direct/plain word for 'woman' compared to 女性 (じょせい, more polite) or 婦人 (ふじん, formal/dated).