first you need the id for the gallery page, you can see it when you edit the gallery in the url, i.e.
The ID is 3271 for the link above.
Then go to the page where you want to show the teaser and add this shortcode:
[quickgallery_teaser id=”3271″ cols=”3″]
Please note: the shortcode will display only the attached files to a page / post.