GUI that shows up on a specific account's screen that when clicked, it triggers an event?

Does anyone know if I can make a screen GUI that shows up on a specific account's screen that when clicked, it triggers an event?

ok so lets assume youve made the gui already (make sure its invisible)

if game.Players.LocalPlayer == "playernamehere" then
	gui.Visible = true
end

and for the part where the event happens when its clicked, i dont really understand what you mean by event, so ill assume its a remote event

button.MouseButton1Down:Connect(function()
	game.ReplicatedStorage.RemoteEvent:FireServer()
end)

hope it helps, replace the event and the player name, gui etc with the actual gui name / path (eg. script.Parent.Gui)