固定句型 spend some time (in) doing sth 花费多少时间做某事
所以,getting to know each other并不是现在分词短语,而是一个动名词短语,做介词in的宾语.
in getting to know each other并不是目的状语从句,只是一个状语.
I‘d = I would
固定搭配 would like sb to sth = want sb to do sth 想要某人去做某事