History, as found in the menu bar of the Mac pro laptop.
Nope. There is no history bar in the menu bar of any Mac.
It is the history the sites I have visited.
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).