If you're performing a navigation instead of a redirect, then you basically don't need to do anything. The information is also just available in the navigated page.
E.g. in login page,
<h:inputText value="#{bean.username}" />
and in the navigated page:
<p>You have entered the following username: #{bean.username}</p>
If you're however performing a redirect instead of a navigation, then you basically need to store the information in a bit broader scope. You didn't clearly elaborate the concrete functional requirement in the question, but if I guess it right, you just wanted to remember the currently logged-in user for the remaining of the HTTP session. In that case, just store it in the session scope during the login action.
public String login() {
// ...
User user = userService.find(username, password);
// ...
externalContext.getSessionMap().put("user", user);
// ...
return "nextpage?faces-redirect=true";
}
This way it's available by #{user} throughout the entire HTTP session.
<p>You're logged in as #{user.name}.</p>