Use (free, open-source) or UniConverter (limited). Both can import .cdr files from X6 and earlier.
If you're looking for a specific story or tutorial on using Corel Draw X6 Portable 64-bit with Google Drive, I'd be happy to try and help you with that. Alternatively, I can provide general information on how to use Corel Draw X6 or Google Drive if that's what you're looking for.