Is it a simultaneous event?

then "to see her" referes to what? now or future? and why?

To the future, to my mind, because infinitives are verbs of potentiality. But all of your sentences that we are discussing are not in the context of a real conversation. I suspect, that all of them, grammar aside, could be used to refer to now or later, depending on when you (will) really see her.

It would be comprehensible for me If you get this part could be used to refer to now or later, depending on when you (will) really see her a little bit easier for me?