Nursing school : There's been people claiming that it's more difficult than medical school. It isn't difficult, but you have to bear in mind that you're required to memorize a lot of things in a very short time, so you usually have to study all the time. The requirements are obtaining a bachelor of science in nursing (B.S.N.) degree in four years; an associate degree in nursing (A.D.N.) in two to three years; or a diploma from a hospital-run program, typically in three years. There are even nurse practitioners, or the so called advanced practice nurses, which needs master's degree that takes 2 years. (Lower cost)
Medical school : Requirements are bachelor's degree before entry and, in many cases, a higher-than-average GPA and MCAT score. To earn a medical degree, you'll need at least 4 years. Next, complete a three to seven year residency training program depending on your chosen specialty. (Higher cost)
Doctors/Physicians are more into providing diagnosis and authorizing nurses to apply treatments and aids, while nurses are more of 'eyes and ears' to the doctors, they alert doctors/physicians about the changes in the patients' condition, as well as educating the patients' family about the illnesses.
If it were me, I'd choose medical school and the path towards becoming a surgeon, simply because I'm an introverted person, (and a little bit sociopath), and I operate more on a technical level, not emotional. I don't think I can personally engage with the patients' family which nurses normally do. This all depends on your own preferences, and the best way to assess which one is right for you is by volunteering firsthand with doctors and nurses in a hospital.
Sources : I give advices to my students who are aiming for medical/nursing path.