Answer: Yes!… Just open up the spreadsheet in google docs and under the Tools > Notification Rules…

You will find the options to be emailed / notified when someone completes the form.

I found this answer here: http://www.google.com/support/forum/p/Google%20Docs/thread?tid=0bace67d958d17e6&hl=en 

You might also have searched for: how to have google docs forms email you, be notified via email of google docs form completion, etc.

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