$150 to $200 pc for web browsing

pc part picker links if possible 

dont include a os  

Get a chromebook.

http://pcpartpicker.com/p/qF6st6 i would build this if you gotta have a pc, otherwise, as commented above, chromebook would be a good choise

Could build something like this: http://pcpartpicker.com/p/gzq4YJ

Or, as SomeTechNoob already suggested (and what I would also suggest) is to just get a Chromebook. Just make sure it has an SSD instead of HDD and at least 4GB ram (multiple chrome tabs like plenty of ram).  

Intel Celeron might be a good option as far as processors go, then find a cheap MOBO, 4GB of RAM, and a WD Blue Drive. 

http://pcpartpicker.com/p/cfF8bv

Best I could do was about $230, I hope this helps. 

i second this. (is currently using an Acer C720 Chromebook. $199)

boots in 4 seconds, no viruses, great for email and web browsing.