where can I find the min/recommended PC requirements to run the VCS Java Console?
It didn't change much from 5.0 to 5.1 as Symantec are trying to get customers to use VOM, which is why it is no longer bundled with VCS from 5.1. Therefore the requirements for 5.1 are likely to be the same as for 5.0 which can be found in the VCS 5.0 release notes (which you can download from https://sort.symantec.com/documents):
UK Symantec Consultant in VCS, GCO, SF, VVR, VxAT on Solaris, AIX, HP-ux, Linux & Windows
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The download link for the latest version of the VCS Java GUI (all supported platforms) is http://go.symantec.com/vcsm_download/ . You need to use your SymAccount credentials to get the binary (ies).