The connection between Mrs. Yang's gardening and Samara's idea to build a park is "Residents agreed that Mrs. Yang would manage the gardens."
Samara realized there were no public spaces for people to relax enjoying nature. When she saw Mrs. Yang gardening and her ability to do such a thing and regarding her experience and knowledge in gardening in Korea, Samara thought it would be a great idea for her to manage the park building and guide other people to help with the community garden.
I’d say why could mean another word for purpose
it's wrong, and part of premature sexualising of young girls. There may be some good things that girls learn from this, but they learn a whole lot more bad stuff, like excessive vanity, a money hungry attitude, and the backstabbing and cattiness that often goes on among the mothers.