아무것도 안 했는데 벌써 아침 해가 떴네. 너는 내가 이런 걸 알까?
= I haven't done anything and yet the morning sun is already up. I wonder if you know how I feel [how I am].
너는 내가 이런 걸 알까? = 너는 내가 이런 것을 (that I am like this = how I am at the moment) 알까? (would you know?) - it is just wondering aloud, not conversing.