I believe those who believe in a self or non-self, are the ones who usually talk about an awakening. They capture that there is some standard before version of self and an after.The Lord Buddha teaches that there is neither a self or a non-self so this sleeping self and awakened self doesn’t quite fit. There are sutta which explain Buddhas teachings on self, they are long, detailed and rather complex for those who aren’t into intellectual gymnastics ( i link one if you like). And there are teachings which say enlightenment is hard to understand for one who isn’t enlightened (not that it is like waking up from a dream.) But ultimately the teachings highlight that whether or not there is a self or no-self, and the idea of what enlightenment looks like, it doesn’t change that we are suffering right now. We should not focus our attention on what we could be like in the future ,but on understanding suffering and the end of suffering which is relevant right now, the rest is more or less intellectual distraction.
Here is a sutta about the idea of self and non-self. It is not necessarily to read at all imo, I did find it helpful in regards to overthinking about what we are. Regards :).