Tourists are only now 'waking up to' the fact [=are only now starting to realize] that this is a great place to visit.
I spent every 'waking hour/moment' [=every hour/moment when I was awake] thinking about how to fix the problem.
She can never remember her dreams upon 'waking'.
(..) Five minutes before the plane landed, Jeffrey fell asleep. And grown people in first class took great delight, as they walked out, in waking Jeffrey up. ''Goodbye, Jeffrey!'' Sounding like Renfield. (maniacal laughing) And Jeffrey's mother, hair mangled and just hanging by (..)1983 Bill Cosby: Himself