I'm not sure I've understood what you mean. But if you are thinking that it saves/restore a snapshot, like you would do on a laptop, then no.
It _is_ a fresh boot every time it starts.

If instead you are referring to the instant-on feeling, well, then it never goes off. It is always "running", only most of the time the processor is in a state of clock-stop and voltage lowered to the minimum level that is required to retain the information in the registers. The SDRAM is in self-refresh mode.