Verb (5-dan, る, transitive)
1. to watch over; to keep watch over; to keep an eye on
だとしたら、ちゃんと見守らなければいけないなあ。If that's the case, I really need to keep a proper eye on them.
2. to watch intently; to stare; to gaze; to watch (and see what happens); to follow
さて、後は成り行きを見守るか。Well, now I'll just wait and see how things turn out.