Yes, you can surf the web, and it connected to our home wireless router almost immediately, very easy setup! but agree with other customers that it's best to use a wireless keyboard if you want to do alot of web surfing etc. my family all love this tv.
You can search the web, but it has the slow on-screen keyboard. I'm pretty sure you can get a real keyboard and search much faster. I just haven't needed to explore that feature yet. I hope this helps.