But suddenly he would look into your eyes

This is from the song Basia-Matteo:

"Can you ever plan to be surprised
Be ready for the new and unexpected
You're old enough to know by now
What life is like, well you've seen it all before
But suddenly he would look into your eyes
But suddenly you can't breathe, you lose your mind"

.......................

I can't pinpoint the usage of modal "would" in the clause But suddenly he would look into your eyes; in what way does it differ in meaning from But suddenly he looks into your eyes in the lyrics context?