Not strange at all, but i'd avoid playing that person again.
Draw offer on turn 2
Also, if it was on here that happened, I'd report the person 'cause that's a really stupid thing to do just because you have the black pieces. It violates the site's fair play policy too.
Ever played a game where someone offered a draw after their first move and said they want to play white? Then when you don't accept the draw, they just let the time run out? Strange.