All (visual) components have attributes such as onclick, onmouseover, onmouseout, onfocus, etc. that allow you to run Javascript code when a specific event is fired. For example:
<h:inputText ... onclick="alert('Click');"/>
will display a "Click" message when the user clicks in the input field.
Regarding your requirements, you can try something like that:
<h:commandButton ... styleClass="aCssClass" onmouseover="this.className='anotherCssClass'" onmouseout="this.className='aCssClass'"/>
In others words, the button will be displayed regarding the CSS class aCssClass, and when the cursor is entering the button, it will use the anotherCssClass class. Of course, you can also define a CSS class for the onclick event...
Just for information: If you want to execute an Ajax call to your server regarding a specific event, which may not be what you are looking for exactly, you can use the <a4j:support/> tag:
<h:inputText ...>
<a4j:support event="onclick" actionListener="#{myBean.doSomething}"/>
</h:inputText>