For just surfing, sure, the OS is fine and that's what the design seems to indicate. It's not a bad idea to have an internet-centric OS, but it's not the only option.
It's another OS, and just because it's not aimed squarely at OS X, Windows, Linux, etc. doesn't mean it's worthless.
As a comparison, there are many vehicles on the market and they suit the needs of different individuals. I don't need a minivan, but that doesn't negate others use for one.
Would I look to Chrome for a server? No, but then, that doesn't seem to be the design Google is going for. I'm curious to play with it, but I don't expect there not to be any issues. The fewer variables to contend with, the less potential for problems (which is part of the reason Apple can claim to have a product that works better than Windows), so being that Chrome is web-based and aimed at the netbook market, it's probably going to be a light weight OS...but we shall see. I'm just speculating based on the target market and the design of Chrome OS.