Another vote for Toni’s excellent book.
No, ovulation is not brought on by orgasm. That’s just weird. Perhaps your friend was thinking of some animals (rabbits, I believe?) that only ovulate when they have intercourse. Thank Og that’s not us! 
A woman cannot get pregnant at any and every time during her cycle. A woman can, however, not *know * when she can get pregnant. This is a very different situation. Most women (barring truly bizarre medical problems) *can learn * when they can get pregnant during their cycle.
Fertility Awareness Method and Natural Family Planning are identical except that in FAM, you may choose to have intercourse with a barrier method (condom, diaphragm, etc.) during your potentially fertile days. NFP, being a church sponsored spin on FAM, requires abstinence on your potentially fertile days.
FAM and NFP are really very simple, although it may seem a bit daunting at first. I love it because it removes the birth control from the intercourse - that is, we know long before the heat of the moment whether or not we’re “using something” this time, so most days we can just go for it and indulge like irresponsible teenagers! Also, it’s a great way to get your husband involved and even a little awed at the coolness that is the female body. Each morning, my hubby’s alarm goes off, he pops the thermometer in my mouth and then staggers to the bedroom to pee. When he comes back, he takes the thermometer out and I wake up just enough to record the temp. Since he understands the system just as well as I do, he doesn’t have to even ask if I’m fertile, we both know together.
What hasn’t been mentioned is how great FAM is for concieving. Tracking morning temps and other signs can help a trained doctor to root out the most common causes of infertility more quickly and cheaply.
We never had fertility problems, but after three years of using FAM as birth control, we decided to get pregnant. Because we were interested in bettering our odds for a girl, and because we were frankly curious if this FAM thing could be that reliable (maybe I just had hidden infertility?), we decided to have intercourse just once in two months, on a carefully chosen day. Sure enough, I got pregnant, very likely with a little girl.
Also, by taking my morning temps, I knew I was pregnant 11 days after conception - because my morning temp stayed elevated. That’s nearly two weeks sooner than most drugstore pregnancy tests work reliably!