接下来 is a verb compound meaning 'to take over' or 'to accept' (接 'take, receive' + 下来 'down, as a resultative complement'). In spoken and written Chinese, it is also very commonly used as a temporal connective meaning 'next, then, afterwards' — essentially 'what comes after the current point in time or sequence'. As a verb, it typically takes an object like a task, position, or responsibility. As a connective, it often begins a clause or sentence. The two senses are closely related: 'taking over' from the previous situation leads to 'what happens next'.