My Apple PowerBook G4 struggles with web pages.  I can only image an Amiga trying to surf the web today.  
I did use my A4000T 060, with a Cybervision card to surf the web back in the day and it was fine.  Though it was dial-up at the time and web content wasn’t all that intensive.  It was quite enjoyable and I sorta wish the web was a bit more simpler now.
R.
CS-MKIII 060/50 with PIV and WarpDT (datatypes.)  Web browsing on all but the moderate to heaviest sites is usable for me.