There have been a number of issues with Oracle's Java. Most of the issues involve allowing Java to run programs directly from your web browser. So, we recommend - as does nearly anyone involved in computer security - that you turn off Java in your browser(s).
The United States Computer Emergency Readiness Team (US-CERT) has the following recommendation:
"Unless it is absolutely necessary to run Java in web browsers, disable it as described below, even after updating to 7u11. This will help mitigate other Java vulnerabilities that may be discovered in the future."
If you need help in disabling Java in your particular browser, Check out this link: How to turn off Java to save your computer
If you absolutely need to run Java in your browser, you should immediately upgrade it to the latest version (though it will still be vulnerable to certain issues).
Contact Green Bay Net if you have multiple computers that you need upgraded, if you feel like you've already been infected, or if this simply seems a little over your head.