The intent of the RC regimen is to increase your chances of realizing your dreaming, which makes the dream a lucid dream. More time spent lucid in your dreams will give you more practice in exercising your will within them. So, I guess the short answer is, yes, exactly.

As for your last question, I'd check through the tutorials, and maybe browse the other Lucid Dreaming forums for suggestions on improving your chances of having good, vivid dreams. There are some mental techniques, some physical accommodations, and even some supplements people recommend.

NOTE: You dream every time you sleep. The general agreement is that REM sleep is dream sleep, and you have an average of four to six REM periods every night (depending on your sleep physiology, how long and how soundly you sleep, etc). The goal here is to take advantage of the dreams you're normally having anyway, and to remember them afterward.

If you haven't already read through the main DV website, do that. There's a lot of good general info to build your knowledge.