Java for Mac OS X 10.6 Update 12 delivers improved security, reliability, and compatibility by updating Java SE 6 to 1.6.0_39. (released Febuary 2, 2013)
On systems that have not already installed Java for Mac OS X 10.6 update 9 or later, this update will configure web browsers to not automatically run Java applets. Java applets may be re-enabled by clicking the region labeled "Inactive plug-in" on a web page. If no applets have been run for an extended period of time, the Java web plug-in will deactivate.
Please quit any web browsers and Java applications before installing this update.
See http://support.apple.com/kb/HT5575 for more details about this update.
See http://support.apple.com/kb/HT1222 for information about the security content of this update.
Java 6 users on 10.6.8, Oracle has moved on with Java 7 on OS X 10.7-10.8, thus will be ending support for Java 6 in Febuary 2013.
Apple is providing a method that disables Java web browser applets from running if they are not being used, it's not a replacement for a secure Java.
Websites that use Java 6 will move on to Java 7 and thus those on OS X 10.6.8 will be left behind from running Java any further unless they upgrade OS X to 10.8.
Upgrading to OS X 10.8 will incur some penatly, as older PowerPC based software running in Rosetta will no longer function.
http://roaringapps.com/apps:table
Also OS x 10.8 has a minimal RAM requirement of 2GB, which 4GB is highly recommended.
Some Intel Mac's cannot be upgraded to OS X 10.8 for other reasons, check your compatability for 10.8
If one cannot upgrade 10.6.8 to 10.8 (or doesn't want to), and one requires to run Java 7 on websites, then purchasing Windows 7 and installing it into Apple's BootCamp or the free VirtualBox virtual machine software and 4GB of RAM is recommended.
Windows in BootCamp or Virtual Machine?