Dream dictionary: World wide web (internet) dream meanings
To dream that you are using the internet means that you are willing to find some answers to your questions. The internet is also a tool to communicate with people all around the world. If you are sending messages through the internet, then it means that you feel the lack of communication. To get more detailed dream interpretation, please also see the meaning of email.
If you dream that you are connecting and communicating with the other people, then such dream shows that you are lacking for the attention. If you are looking for some information on the internet, it means that you have questions that needs to be answered. The dream could also mean that you spend too much of your time browsing the internet.