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Try disconnecting the VPN, then see if you can ping say www.slac.stanford.edu. If you can then you have an Ethernet connection, so try connecting to the other VPN server (fwvpn1.slac.stanford.edu<->fwvpn2.slac.stanford.edu)
I cannot Connect to the VPN the server name and Connect statement are greyed out in the AnyConnect window
Quit the AnyConnect Secure Mobility Client. Then restart it and make sure the server name is fully qualified, i.e. fwvpn1 needs to be specified as fwvpn1.slac.stanford.edu and try connecting again .
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