"Z, whether X or Y" or "Whether X or Y, Z" means that Z is the same if X or Y is true.
Whether the store has "Call of Duty Black Ops" or "Madden 16", I'm buying a PS4 game.
In the above example, Y reuses X's verb, and it's not necessary to repeat it, but X and Y can contain their own verbs.
Whether she hates me or she loves me, I still have to go to the party.
Typically X will have a verb, if it doesn't, the meaning will be "X is" or "there is":
Whether rain or snow, the post office delivers mail.
Whether sick or well, she was at work every day.
Plain old whether X with no Y has an implied "or not X" on the end of it. Usually including the "or not [X]" will sound/read as repetitive but can be included for emphasis.
I don't know whether she'll go = I don't know whether she'll go or she won't go.
So whether is not really a conditional, it's saying something is going to happen regardless of two or more possible outcomes. It's the opposite of a conditional.