I don't intend on picking out on a dead old thread, but the original query still doesn't seem to be have been addressed.. satisfactorily.
I was searching for something similar, and I came across the following paragraph on pcworld.com:
So, there is something for DropBox, as is also evident by
WatchAnd Learn's post above. Surely, they must be a similar service for Google Drive too. I'm on the prowl, and will update here if I get something. In case someone else has already found something, please share the link to the service/plugin/add-on with us too. Share the love. Thanks
UPDATE: I found
Save to Google Drive, a Chrome add-on, developed by Google itself... This does what the Thread OP asked for.
Now... only if there was a way to automate uploading of files from multiple direct links one by one to Google Drive. Aah, the joys of wishful thinking