Add Focus on the Search Box SharePoint 2013 Search

As a user navigates through your SharePoint Search Center, the page does not focus on any particular control or item on the page:

To enable this feature, edit a search results page that contains a search box. From the Search Box drop-down select Edit Web Part:

In the Search Box Web Part properties tool pane, scroll down and expand the Settings section. At the bottom of the section you'll see the option:

Simply check the checkbox and click OK. Check in and publish your results page. Now when the page is rendered, the focus is on the Search Box and the cursor appears accordingly.Sometimes the smallest things are the coolest!