The meaning of "to seek" in the Bible is pretty straightforward, but there is a bit of nuance. In most cases "seek" or "look for" is connected with truth and knowledge, where "desire" is connected with love and affection. This makes sense; the idea of "seeking" is connected to sight, and sight corresponds to our intellect and capacity to understand truth.

(References: Apocalypse Explained 550; Apocalypse Revealed 429; Arcana Coelestia 4719, 6770, 6771, 7021, 8298)