Thanks for your comments Lilian, but I'm afraid I don't understand.
"Learn to know me" and "See who I am" are not related? Logically I can't imagine doing both things without them being related. Of course, only after learning to know someone you see who (s)he is. "See who I am" happens necessarily after, in my humble opinion. That's why the set phrase appears mostly at the future tense in Italian. It's often placed after imperatives, i.e. "Lascialo fare e vedrai chi è" - "Dagli gli strumenti e vedrai che farà " etc.
I mean, it barely makes sense to me to consider the two actions happening at the same time and not related.
I hope not to spend too much time on a simple issue.
I know what you mean. Your version sounds more "familiar", but as I said, according to Bamsa's bridge the verb tense should be imperative.
Anyway... even if I agree with you that this does not deserve too much discussion, I'd like Bamsa's input about the exact meaning in the original and if the future tense could be acceptable as well, ok?