If all you want to do is browse the net then you're probably best off to get a netbook, which, as the name implies is designed primarily as an web access device.
Netbooks are the new category of small, cheap and yet fully fledged laptops which took the market by storm last year. The Asus Eee PC was the one which started it all off but now most PC makers offer a model or two. I own the Dell Mini myself and love it.