OK, I got it working. The public drive of WD MYCLOUD home can be read/write accessed without password from b4j using a statement like:
File.Copy(Pathstring,FileName,"//MYCLOUD-XXXYYY/Public",Filename) or any other file operation.
Please note the // instead of the \\ backslash as noted in the wd support documents "how to map a wd network drive".
XXXYYY are the last 6 digits of the serial number. This is NOT the code printed on the quick install card and at the bottom of the label on the device, but from the group of characters preceded by "S/N" on same label.
No requirements of SMB or any credentials.