You should only create a group if more than one user (or user-like) account will be placed in that group. I recommend you do not create a new group, and instead deny the specific user access to everything except the d:\documents folder itself, because it is more directly persuant to your end goal. Alternatively however you could create a group of Everyone else, but that will require additional management and maintenance every time a new user is added.
In reference to your title, it is not possible to copy a groups permissions. permissions are stored in the filesystem on the fileobjects themselves (or their metadata) so the entire disk would have to be searched if someone choose to write a feature to copy permissions (which they haven't).
My recommendation is, on the D:\ drive object, add the user to the permissions list, and edit the users permisisons to Deny
the user everything except "List Foilder Contents".
on the d:\documents directory, grant the user full control.
Finally, on the d:\documents directory, enter the Security tab's advanced view, (clicking "Change Permissions" along the way), uncheck "Include inheritable permissions from this object's parent". you will be prompted to copy or remove permissions inherited from the parent, so select "copy", then remove the deny rule. Last, check the box "Replace all child object's permissions with inheritable permissions from this object", and click Apply. Windows will set the child permissions and uncheck the box automatically.
That way the user can get to the d:\documents, but cannot read/write anything except within that directory.
Another less manageable approach would be to create a group for all users except the one in question, grant that group full control to the d:\ root, and remove the users group from the permissions list entirely. Then on the d:\documents, add the user with full control.
Neither of these approaches is entirely optimal, but either will work.