Can I receive short messages when I surf the Internet on my mobile phone?

It depends on the phone. Generally speaking, it's ok, but Nokia s60 version 3 MR model is not, such as N73. Any other mobile phone will do. By the way, have you read hundreds of books? Its message sounds like a text message. I'd like to add that because you can delay receiving SMS, you won't miss receiving SMS, and n73 will miss answering the phone.