Hypernet

The Hypernet was the intergalactic equivalent of the Earth-based internet.

In the 52nd century, Talin described the Hypernet as "a network linking together the entire Human Empire using transmissions sent through hyperspace using a process of quantum entanglement." (AUDIO: Revenge of the Swarm)

Lenny Sprang won his place in the Game of Death in an online hypernet competition by guessing the games coordinates. (PROSE: The Game of Death) According to the Seventh Doctor, TG tablets had "full trans-galactic internet access". (AUDIO: A Death in the Family)

Behind the scenes
No concrete connection is made between the two intergalactic servers, but they are both given the same definition.