Firstly, you should buy a 35mm manual SLR to have as your first film camera.
Once you have your film camera, read it’s manual all the way through. If you don’t have a physical copy of the manual, you might be able to find one here: http://www.butkus.org/chinon/index.html
You won’t understand most of the stuff you read in it until you shoot a few rolls of film, but it’s good to have a basic understanding of your camera and you’ll pick up some key words like ISO, shutter speed, and f. stop.
Once you’ve read the manual and you have at least a slight understanding, shoot a test roll. Load the camera up with some cheap film (store brand film is usually the cheapest.) and go take pictures of fairly uninteresting things. I say that because if it turns out your camera doesn’t work or you make a mistake, you won’t have wasted money on better film and you won’t be as disappointed as you would if you went out and shot something awesome.
Once you’ve finished the roll, go and get it developed! Look through the photos and see what you can learn from them, ex. if you’re over/underexposing pictures, the camera has a lightleak etc. If you’re having trouble figuring out the cause of a problem, think over everything you did and check the manual to make sure it was the right thing. Don’t be embarrassed by your mistakes, they really are the best way to learn. If you still can’t figure out, ask me or somebody/some group on Flickr. (Posting the pictures with your questions would be good.)
If there aren’t any problems, go ahead and just shoot to your hearts content and after shooting for a while you’ll pick up on what certain things mean or how to really take a perfect picture with your camera.
See also ‘What kind of camera should I buy?’, ‘Where should I buy a camera?’, ‘Where can I buy film?’ and ‘How do you get your film pictures on your computer?’
If you need more questions on this subject answered, just put them in my ask box.