Student or Learner
I was actually up in my apartment, which was on the fifth floor of a building. And I was woken up at about 5 o’clock in the morning to the building swaying.
No. If you wake up "to" something, it simply means that when you woke up, that is what was happening.
I woke up to the sound of music.
I woke up to the building swaying.
I woke up to the sight of a scary man standing in the corner of my room.
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.