Not unless somebody else starts selling a helluva lot of 3D displays.
Take a look at this page:
http://netmarketshare.com/operating-system-market-share.aspx?qprid=8
Nintendo gives away free web browsers for the Wii and the DSi. How much usage do these millions of internet-enabled devices register on the web? 0.01% for the Wii, and the DSi rounds down to zero. By comparison, iOS is now the third largest platform for web usage at nearly 1.18%.
How much is bundling the browser with the 3DS going to increase that web usage? I would suggest the answer is: Not much, certainly not enough that web developers take notice.
Going back to my first sentence in this post, there's no influx of 3D displays on the horizon. Nintendo tells us that touchscreens and 3D displays don't play well together, so don't expect the swelling smartphone and tablet markets to provide them. 3D TVs are floundering between different implementations and don't see much internet use anyway. That leaves PCs and laptops, which aren't showing much interest in 3D yet.
All this leaves aside the question of whether people actually want to surf the web in 3D. Seeing 3D movies and images might be nice, but the vast majority of web content is still text, and 3D probably makes reading harder on the eyes than a conventional display.
"The worst part about these reviews is they are [subjective]--and their scores often depend on how drunk you got the media at a Street Fighter event." — Mona Hamilton, Capcom Senior VP of Marketing
*Image indefinitely borrowed from BrainBoxLtd without his consent.
