What time do you wake up every morning?

Literal

Every-morning, what-time [at-に] wake-up?

毎朝 ('every morning') is one of a productive series with 毎 ('every'): 毎日 ('every day'), 毎週 ('every week'), 毎月 ('every month'), 毎年 ('every year'). 起きる takes time-of-occurrence with に — 何時に for 'at what time.' A staple template for questions about daily routine.