Free weight strength training is one of the greatest things you could do to improve your health.
The program to which you refer (http://stronglifts.com/stronglifts-5x5-beginner-strength-tra...) seems to be a slightly different spin on Mark Ripptoe's legendary Starting Strength program (http://startingstrength.wikia.com/wiki/The_Starting_Strength...).
If you are serious about improving your strength and health in general, buy Mark's book (http://www.amazon.com/Starting-Strength-2nd-Mark-Rippetoe/dp...). It is probably the best $30 investment I have ever made.
NB: I am in no way affiliated with Mark Rippetoe. I simply have incredible respect for the man.