Bard is a place that stresses a strong liberal arts background, that is reading, writing, math and science. It teaches students to read and think, and formulate their own opinions based on fact. It encourages discussion in small classes.
It all starts off with freshman orientation, Bard's three-week Language & Thinking program. L & T's readings in the past have been everything from Darwin to Galileo to Kafka.
It is also a school that places very high esteem on music and the arts.
A good fit might be an intelligent, inquisitive skeptic who has excelled in high school. Somebody who doesn't merely like to regurgitate whe s/he has learned.
Bard has been around since the mid-1800s, and was originally part of Columbia University. Bard broke ties with Columbia in the 1920s, I believe, when Columbia wanted to remain single-sex, but Bard wanted to admit women.
You should absolutely go through their website. There's a ton of information in there, and you will get a good sense of what Bard is like.
Bard College