Updates don’t show up

I just downloaded new theme (NewsToday) and I am in Customize. I do not want to publish anything yet since this site is still being created so I use “save draft.” When I make changes and view the site, my changes do not appear. Is that because I do not “publish?” How can I see my changes without it going over the interet?

The page I need help with: [log in to see the link]