To seek God ties in with the previous verb to wait for him.
It means to come into his presence and communicate with him and ask for his help.1 Seeking him depicts the anticipation of having a personal relationship with him, knowing his will and aligning one’s life with it.2 In this context it would include confession of sin (see Lamentations 3:40–42). They may seek God because they are his covenant people, to whom he is good.3 They may expect his help but should seek it in humility and repentance. Previously the people would go to the temple, seeking God through the institutions of organized religion. But, since the temple has been destroyed, they needed to seek a personal rapport with him. The latter was in any case always available without the formal liturgical means of the temple.4
25 The LORD is good to those who wait for him, to the soul who seeks him.