You almost certainly have Java installed otherwise the updater notification wouldn't be appearing. Go to Java Website and download the latest version which is Java 7 Update 7.
You may find that the udate being offered on your computer is Java 6.
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Synology invite you to their launch event on 16th September 2015. See the unveiling of the new DSM and products live, plus a chance to win a populated NAS! Tickets are free and available now. Click HERE for more details