Imagine I have some Selenium Project ready on Computer A. When you run this project, a new browser opens in Computer A, and connects to www.somesite.com and runs the tests..
You can look up this documents to better understand RemoteWebDriver
In short things you would need to do
java -jar selenium-server-standalone-2.32.0.jar
WebDriver driver = new FirefoxDriver();
to
DesiredCapabilities capability = DesiredCapabilities.firefox();
WebDriver driver = new RemoteWebDriver(new URL("http://computerB:4444/wd/hub"), capability);
And if all the required ports are open, it should all work well.