As mentioned:
-Do we share the same DNA?
-Have we lived our live the same way?
Love is love, but I would not feel the same love for, say my sister/brother, as I do for another woman/man. Would I feel love as in "sexual intent" love for a parallel me? Though question.
Since this is a fictional and completely messed up situation, my first priorities would be;
-Where am I?
-How did I get here?
-Can I ever get home?
-If I'm male/female here, does that mean my same sex friends are as well?
-What will my mother/father think of me, since I'm no in a alternative universe aren't I the alternative?
-My brain hurts.
-Wait! I haven't been born, I'm not registered anywhere, I don't have any ID. Am I free, or a prisoner?
-The list goes on.
One thing is certain, this "other me", would probably be able to understand my reasoning and thought process pretty well, and if I'm interested in me, then she/he would be to, right. Right?
OT:
-I have no idea what would happen, "Southland Tales" perhaps?
-The relationship would probably count as Narcissism.
-The love making would be like "pleasing yourself" (read masturbation).
-I'd probably find it as fascinating as the "other me", but we would probably end up working on getting me home instead of fooling around (pretty boring I know).