need attention for multiplayer

hi all,

Currently working on multiplayer game, right now there is a simple floor(plane) and the character is having animations with idle,run,punch with the hierarchy of
character
character@idle
character@run
character@punch

i have no issues in it and everything is working fine like with keyboard and mouse functions (by using character controller and move script and character blend animation script).

So, upto this is good and worked in the browser build nicely

But now i want to make it like the same url browser link opened in the other pc and want the same movement and actions that i am doing on the character to be updated on the other pc as well.

Sorry for such description, but i wanted to give the proper brief as where i am stuck

so, now i think this will be done with network sort of thing like the things done for multiplayer.

So, please can you folks let me know how to do this.
As all the actions of character and position to be clearly updated on the other pc as well.

Thanks