The question been asked many times, especially by the new users of ConfiForms add-on for Confluence.

And also the related question - why I see this strange button on my page?

Both elements are special tools visible ONLY to administrators of the form. See more details about "who is the form administrator" here: Confluence page permissions and ConfiForms 

There elements are NOT VISIBLE for ordinal users of your form.

 

Also, you are always free to choose where to place your ConfiForms Form definitions and where to have "views" over the data and form views. See more on Multiple ways to show your form data