\documentclass[handout]{beamer}
achieves what you want. I also write
\mode<handout>{
\usetheme{default}
\setbeamercolor{background canvas}{bg=black!5}
\pgfpagesuselayout{4 on 1}[letterpaper,landscape,border shrink=2.5mm]
}
which in particular gives you 4 slides per page, and some nicer formatting (shaded backgrounds, for example).
You can also use
\documentclass[trans]{beamer}
which disables all the uncovering, but otherwise leaves things very much like in usual beamer mode.
(Some unsolicited advice to anyone using beamer -- as per the recommendations in the manual, only use \pause and related commands when you have a special reason to. Don't use them just because you have an itemize, enumerate, or several paragraphs on the slide. It's annoying, usually distracting, and perhaps even demeaning to your audience. </rant>)
