While transferring several files to the G-Raid, the G-Raid device locks up with the following warnings: "The Finder can't complete the operation because some data in (whatever file) can't be read or written (Error code - 36).”

This is likely a problem with the drive itself. This error indicates unspecified I/O errors with the drive, which can be from a hardware fault, or a formatting issue. If the drive has valuable data on it, then try connecting it to another PC to get the data off, and then try fully partitioning and formatting the drive with Disk Utility. If this corrects the error then you should be able to use the drive again as it was likely a formatting issue, but if the problem continues then it is likely a hardware fault and the best solution is to be safe and replace the drive.