Yea a little more depth is about it. About half my graduating class in my major went with honors and the other half went with non-honors. By the time we got to senior level biochemistry courses (where gen chem becomes important again) there was absolutely no difference in grades for those who took the honors vs non-honors. The core concepts will be exactly the same in both courses.
If you did well in high school and would like to learn things a little deeper and challenge yourself, then go for it, it absolutely wont hurt. If you think it will make you extra special for med school or will give you a leg up through the rest of college, it probably wont. It is a marginal difference between the two, otherwise the college would make all science majors take the honors version. If the professor for it is great or easy (check ratemyprofessor.com or talk to some upper classmen) then I would go with the honors. If it is going to destroy your gpa because the professor is nuts (because its honors) then it is absolutely not worth it, the regular course would do just fine.