Not having any problem browsing with N3, multiple tabs etc. I do not have an iphone to compare but I can go to an Apple store and try it out of curiosity but regardless if it is much better which I doubt there still is that small screen.
iPhone vs Note 3. Which would you prefer to 'actually' browse the web with? mKTank has what we like to call a very 'biased' view. I find anything he says regarding Android pretty much contrary to what the rest of the world says.
If someone claims a 3.99" screen is better to web browse over a 5+ inch screen usually has an Apple logo tattoo somewhere on their body.