You need to word your question a bit more specific if you really want to get help.
Browsing history will be on your iPhone/iPad/iPod from your Mac (and vice versa) only if you are running iOS 8 and Yosemite and have iCloud sync turned on. If you have all of that, then yes, everything will be in sync, your history, bookmarks, favourite sites etc.
Ah, so what you ACTUALLY mean is your **web browsing** history found in the menubar of your **web browser.**
It's a pity we had to waste so much time trying to suss that out.
So the answer to your question is "not exactly the same, but yes." In your iOS version of Safari, there is an icon that looks like two squares, one just behind the other. Tap that, and you'll see a "deck of cards" of web pages. That's your history.
Tip: if you scroll all the way down to the bottom, you will also see what tabs are open on your synced devices (such as, in my case, what's open in Safari on my iPad and on my MBP).