"win 3-2" read as "win three versus two"? Or "win three to two"?

three TO two. It's not a question of one score opposing the other (i.e. "versus"). It's simply what the scores were. And the team who scored 3 of whatever it was, won.

Oh, probably soccer goals (or "football goals" if you're anywhere in the world but the US)

In Britain (the home of football) the scores are usually just said one after the other, highest first, with 0 said as 'nil'.

Thus "a 3-2 win" would be said aloud as "a three two win". You often hear groups of fans of a winning team exultantly chanting the score in the street after a match e.g. "two one!" "two one!" "two one!" "two one!". Sometimes before a match if they see fans of the opposing team they might offer sarcastic predictions of the likely score such as "ten nil!".

A score of 0-0 is a "nil nil draw" or a "no score draw".

Excellent!