That's an interesting case you've got here. I suppose either the conversion has finished but somehow you don't see it, or some deadlock has occurred.
Either way you probably won't be able to export the logs from the client. Go to the logs directory at %ALLUSERSPROFILE%\Application Data\VMware\VMware vCenter Converter Standalone\logs (for WP/W3K) or at %ALLUSERSPROFILE%\VMware\VMware vCenter Converter Standalone\logs (for Vista +) and find the last worker's log (vmware-converte-worker-###.log). The progress of the conversion is being logged. Have a look whether it has completed, is still running, or is stuck.
If it has completed you may try restarting the client and/or the converter server service. Do not stop the worker service unless you are sure there is no running conversion!!
HTH
Plamen