to make sure of; to ascertain; to see with one's own eyes; to watch to the end; to watch to make sure (that)
最後まで見届けたい。
I want to see it through to the end.
息子の成長を見届けてから引退した。
I retired after seeing my son's growth through.
プロジェクトの完成を見届ける責任がある。
I have a responsibility to see the project to completion.