Need help coding a pop-out on a website

Are you talking about the boxes that look like cards? That is simply a div using box-shadow https://developer.mozilla.org/en-US/docs/Web/CSS/box-shadow

I am unsure which you mean. The part is the Box that says 'Seen a lower price' with the girl attached. That part is what I want to pop out automatically and close if the user chooses to

Ok, I was  on the site using my phone. I see what you mean now.

What you are looking for is a modal. I see on the site when you click on her a modal already pops out.  Are you using bootstrap 3?  https://getbootstrap.com/docs/3.4/javascript/#modals

Just set the modal to active on page load.

I don't know what bootstrap 3 is sorry

That is what is being used on your website. I think you are using version 3 https://getbootstrap.com/docs/3.4/

The tell tale are classes like, "<div class="col-xs-2 visible-xs nav-toggle">"

That is saying to make the column width 2 (out of 12) columns widehttps://getbootstrap.com/docs/3.4/css/#grid   for screen width extra small (phones) and larger. it is also set to visible https://getbootstrap.com/docs/3.4/css/#helper-classes-show-hide.

For the div with the women, make that a modal https://getbootstrap.com/docs/3.4/javascript/#modals that is open to start with. At the very least, make a container div wtih class="modal". The css is already in your code.  Give that div an id and in your js, use $('#myModal').modal("show"); to open it on the page load.  The trick is when the girl is clicked, it already opens up a modal.