How to get a server value from a LocalScript?

You can use a RemoteFunction! This will allow the Client to invoke a function designated on the Server, which we can simply write to return the ObjectValue's Value:

####Ensure to place this Instance in a container in which both the Client & Server can reference; ReplicatedStorage is preferred:

--// Server-sided Script ("Regular")

local ReplicatedStorage = game:GetService("ReplicatedStorage")


local RemoteFunction = ReplicatedStorage.RemoteFunction

local ObjectValue = script.ObjectValue


RemoteFunction.OnServerInvoke = function()
	---------------
	return ObjectValue.Value
end

--// LocalScript

local ReplicatedStorage = game:GetService("ReplicatedStorage")


local RemoteFunction = ReplicatedStorage:WaitForChild("RemoteFunction")

print(RemoteFunction:InvokeServer()) --> Object