I know next to nothing about astrophysics, but I've read a few Wikipedia articles, and it seems like a "normal" kind of binary system includes two stars of similar mass orbiting a common center. I know that there are a couple types of planet; the kind that orbits one of the stars, and the kind that orbits both (orbiting, I believe, around the common center of the stars.) I don't know how fast any of these things actually happen, though. Is it feasible that a planet of the second type (in the habitable zone) orbit at a speed such that it and the star complete one revolution in the same time?
Bonus: What effects would this have, if possible, on the planet's physiology/seasons?