By default, Paperform forms are indexable by search engines. However, it’s easy to stop search engines from showing your form!
In the form editor, go to Configure → Form Behavior and toggle on “Hide form from search engine results”.
Save your form, and you’re done. Note that this indicates to search engines that this page should not be displayed in search results anywhere, however, this may take several days to propagate through search engines if the form has already been indexed.