Apple - Spotlight makes repeated http requests

System Prefs > Spotlight
I'm guessing 'Bing Web Searches' might be the one you want rid of… or perhaps Spotlight Suggestions...

It may also be somewhat interactive with Safari Prefs - Search [though I've not tested this, I've switched mine all off anyway]

If you're using Little Snitch then you can block Spotlight altogether:

                  

There are two items to pay attention to, and they are Spotlight and SpotlightNetHelper. I always block SpotlightNetHelper because from my observation it apparently by default it sends data to Apple during login. Spotlight itself does by default attempt to make an outgoing connection for example if you search for "google.com". During that process you'll see other websites showing up through the Little Snitch dialog because it also picks up anything embedded within that websites page. I selectively deny these outgoing attempts, although you can permanently block any/all of them if you choose.

I find it easier to manage all the connections in Little Snitch.