求爱 is a separable verb (离合词) meaning 'to woo' or 'to court someone romantically'. The object 爱 can separate from 求 when you add a measure word, duration, or aspect marker between them, e.g. 求过爱 ('have wooed'), 求了三次爱 ('wooed three times'). You don't put the person being courted directly after 求爱 — instead say 向某人求爱 ('woo someone').