Could you confirm where is your Firefox software ? In the Solaris server or on your desktop ?
It is Sparc server running Solaris 10. Firefox is Mozilla 1.7 for Sun Java Desktop. it is the standard Firefox shipped with the O/S
If you are able to browse with Firefox on your server then Internet works.
If you have some troubles with Ops Center, you should certainly configure the HTTP_PROXY/HTTPS_PROXY variables and in this case I suggest to push your question in the Ops Center community : Oracle Enterprise Manager Ops Center (MOSC)