Do I have to wake up early tomorrow morning?

Literal

Tomorrow-morning [topic-は] early-wake-up must-do [polite-ますか].

早起き is a noun ('early rising') that becomes a する-verb — 早起きする ('to wake up early'). The necessity construction ~なければなりません is the ます-form of the polite 'must' pattern. A straightforward check-in question.