How can I code where the client can see as well in this is a local script ?

wait(0.1)
local Player = game.Players.LocalPlayer
local Button = script.Parent.Toggle.Button
local Menu = script.Parent.Menu
local Debounce = false

function ChangeColor(Child, Code)
	if Code == 1 then
		Child.BrickColor = BrickColor.new(Color3.fromRGB(255, 255, 255))
	elseif Code == 2 then
		Child.BrickColor = BrickColor.new(Color3.fromRGB(255, 0, 0))
	elseif Code == 3 then
		Child.BrickColor = BrickColor.new(Color3.fromRGB(0, 0, 255))
	elseif Code == 4 then
		Child.BrickColor = BrickColor.new(Color3.fromRGB(0, 255, 0))
	elseif Code == 5 then
		Child.BrickColor = BrickColor.new(Color3.fromRGB(255, 255, 0))
	elseif Code == 6 then
		Child.BrickColor = BrickColor.new(Color3.fromRGB(0, 255, 255))
	elseif Code == 7 then
		Child.BrickColor = BrickColor.new(Color3.fromRGB(255, 0, 255))
	end
end

function Recurse(Child, Action, Code)
	for i, Object in ipairs(Child:GetChildren())do
		if Object:IsA('BasePart') and Object.Parent.Name == 'NeonLights' then
			if Action == 2 then
				ChangeColor(Object, Code)
			end
		end
		Recurse(Object, Action, Code)
	end
end



Menu.White.MouseButton1Click:connect(function()
	Recurse(game.Workspace, 2, 1)
	ChangeMenuColors(Color3.fromRGB(255, 255, 255))
end)

Menu.Red.MouseButton1Click:connect(function()
	Recurse(game.Workspace, 2, 2)
	ChangeMenuColors(Color3.fromRGB(255, 0, 0))
end)

Menu.Blue.MouseButton1Click:connect(function()
	Recurse(game.Workspace, 2, 3)
	ChangeMenuColors(Color3.fromRGB(0, 0, 255))
end)

Menu.Green.MouseButton1Click:connect(function()
	Recurse(game.Workspace, 2, 4)
	ChangeMenuColors(Color3.fromRGB(0, 255, 0))
end)

Menu.Yellow.MouseButton1Click:connect(function()
	Recurse(game.Workspace, 2, 5)
	ChangeMenuColors(Color3.fromRGB(255, 255, 0))
end)

Menu.Cyan.MouseButton1Click:connect(function()
	Recurse(game.Workspace, 2, 6)
	ChangeMenuColors(Color3.fromRGB(0, 255, 255))
end)

Menu.Pink.MouseButton1Click:connect(function()
	Recurse(game.Workspace, 2, 7)
	ChangeMenuColors(Color3.fromRGB(255, 0, 255))
end)

Button.MouseButton1Click:connect(function()
	if Menu.Visible == false and Debounce == false then
		Debounce = true
		Menu.Visible = true
		Menu:TweenPosition(UDim2.new(0.11, 0, 0.6, -13), 'Out', 'Quad', 0.2, true)
		wait(0.2)
		Button.Text = 'Close Neon Menu'



		Debounce = false
	elseif Menu.Visible == true and Debounce == false then
		Debounce = true
		Menu:TweenPosition(UDim2.new(0, -200, 0.6, -13), 'Out', 'Quad', 0.2, true)
		wait(0.2)
		Button.Text = 'Open Neon Menu'
		Menu.Visible = false
		Debounce = false
	end
end)

Send a server event that invokes all clients and makes those changes.

https://developer.roblox.com/en-us/articles/Remote-Functions-and-Events