Why does the change in a Value doesn't copy the change into a GUI text?

Here's what you need to do:

local Infomation = script.Parent:WaitForChild("Infomation")
local Timer = game.ReplicatedStorage.Timer

Timer.Changed:connect(function()
    Infomation.Text = Timer.Value
end

Here's a quick rundown of what changed.

First, I changed this top bit

local Infomation = script.Parent:WaitForChild("Infomation")
local replicated = game:GetService("ReplicatedStorage")

To this

local Infomation = script.Parent:WaitForChild("Infomation")
local Timer = game.ReplicatedStorage.Timer

You don't really need a variable that represents ReplicatedStorage, just a variable for the Timer itself.

Next, I changed this:

Infomation.Text = Timer.Value

to this:

Timer.Changed:connect(function()
    Infomation.Text = Timer.Value
end

The issue before is that you only set the TextLabel's Text to the Timer's Value once. Therefore, it won't update. When you set something to the value of the Timer, it doesn't link them together in some sort of an automatic connection. Instead, what happens, is the Information's Text gets changed to the current Value of Timer.

What the new solution does is update Information's Text every time Timer's Changed event fires (which would be every time a property of Timer changes).

I hope this helped you. Good luck!