Internet access is provided to a multimedia terminal (101, 102, 103, 104) supporting the H.320 protocol through a gateway server (125) that is connected to the Internet. The data stream of the H.320 bearer channel (ISDN phone line or switched 56 kbps facilities) is used for the exchange of data between the accessing terminal and the gateway server, which outputs and receives such data onto and from the Internet, respectively. The gateway server is implemented to function to directly exchange on the H.320 data stream information requests and responsive data in the TCP/IP format used for Internet transport. Alternatively, the gateway server is implemented to function as a proxy to which requests are passed from the terminal over the H.320 data stream, and where function calls are made and locally converted to TCP/IP format for transport onto the Internet. For responsive data received from the Internet, the proxy gateway server removes the TCP/IP formatting and transmits the resultant data back to the terminal over the H.320 data stream.