I only write with LaTeX when I can. I've even written a few classes, and contributed to some open source projects. So yeah, I can help you. I disagree with PatrThom completely. There's nothing you can do in Word that I can't do better and prettier in LaTeX, and there's a great deal Word can't do that LaTeX can. Like properly full justify.
Keep in mind unlike a wordprocessor, it's a type-setting engine. It has a great deal of actually quite sophisticated AI (written by none other than Knuth himself) for deciding how the page comes out. LaTeX is a macro extension to TeX that seeks to allow the user to only have to worry about the format of a document, not the appearance (though that's easy enough to do, too). You define what is a section header, what's a title, etc. LaTeX then decides, based on the class you pick, how to make it look. If this sounds familiar, it's been added (relatively recently in the grand scheme) to Word, too.
Overall, it's similar to HTML in a lot of ways. You put markup in your text. Run LaTeX on it, and boom. If you use pdflatex (you should), the output is a pretty, small, ready to share pdf. The class (which you usually won't mess with directly) is similar to CSS in concept.
All that said, you probably won't like the default formatting. The margins are too wide (they're booklike). The default maketitle command sucks. I never use it. I just roll my own. There are a set of packages that extend capabilities included in LaTeX. Like "fullpage", which corrects the ridiculous margins.
Long story short, search for "The Not-so-Short guide to LaTeX". It's a really good intro. If you want examples of what good latex looks like, open your nearest physics book. Chances are it was written in LaTeX. Nothing beats it for typesetting equations.