use CSS:focus selector
something like below.
     input:focus
     {
        background-color:yellow;
        color:blue;
     }
For suppose your OK span would be placed after the input then the below code will work without the help you of the jQuery. Only the CSS will do the trick.
<div id="todolist">
      <input class="addtodo" placeholder="New todo task" name="TITLE"  type="text" >
      <span class="add-on">OK</span> <!-- span must be after input-->
 </div>
 .addtodo:focus + .add-on
 {
    background-color:yellow;
    color:blue;
 }
The + in the CSS is used to Matches any element immediately preceded it by a sibling element.
Consider 
E + F
{
    // code
}
Then Matches any F element immediately preceded by a sibling element E.
Here is the Demo http://jsfiddle.net/UxZXN/