Back in June (yes, I am way behind) I was in Bordeaux for a solo weekend before a conference for work. I went there with the expectation that Bordeaux the city would be a little stuffy and boring, but that Bordeaux the region (vineyards!) would be lovely. My experience was exactly the opposite. I found the city of Bordeaux to be young and lively, and the countryside to be boring and flat - of course with the occasional Chateau popping up, seemingly out of nowhere. Which is not to say that visiting the vineyards and wine tasting wasn't fun, only that the surroundings weren't as pretty as I expected. (Of course, it was pouring rain when I did my wine tasting, so I'm sure this colored my views somewhat.) So I say - go to Bordeaux for the culture, not the countryside.
By the way, I liked this Bordeaux City Break Guide from the Telegraph. http://www.telegraph.co.uk/travel/destination/france/35004/Bordeaux-city-break-guide.html