Auto Research automates research in Factorio. No more "Press t to start a new research", and the mod even lets you queue and blacklist research.
The GUI can be shown by clicking Shift+T (this keybinding is customizable in options->controls->mods).
You'll also want to prevent Factorio from popping up the research screen when a research is completed. You do this by unchecking: Main menu -> Options -> Other -> Technology window opens when research is completed
Auto Research should work in multiplayer games, even in games with multiple forces, although the latter is not tested.
Compatibility issues with other mods
Auto Trash also use Shift+T as a keybinding. This may cause issues for both mods. A simple work around is to change the keybinding for either mod.