Apple has released Java for OS X 2013-002 1.0 today. You can install the update for OS X 10.7 and later by launching the Mac App Store and clicking the Updates icon, or download the update directly here.
According to the update notes,
"This release updates the Apple-provided system Java SE 6 to version 1.6.0_43 and is for OS X versions 10.7 or later.
This update uninstalls the Apple-provided Java applet plug-in from all web browsers. To use applets on a web page, click on the region labeled "Missing plug-in" to go download the latest version of the Java applet plug-in from Oracle.
This update also removes the Java Preferences application, which is no longer
