They all say they can't read it and when they look at you reading an English site , they certainly will say "Eigo bakari", but it is all just a big act. If they were told to read up about something in English at work they would do it and be able to grasp the general meaning of what is written. Granted some are just plain hopeless or could not be bothered ,but most will understand it.
As for searching in Japanese, I read it fluently and have no problem searching the net in Japanese , but I will tell you now that I prefer to search in English, why? B/c it is my mother tounge and I feel that their is more info on a topic in English.