How do make a screen gui like this one?

Step 1: Make the GUI Make the GUI Exactly how you want it and put it into Lighting

Step 2: Define the player

Make a playerentered script

game.Players.PlayerAdded:connect(function(plr)
--code here
end)

Step 3: Clone the GUI

Once you found the player you simply clone the GUI into the player. Here is a wiki link for cloning

ROBLOX Wiki: Clone

Step 4: Destroy the GUI

Once it has been cloned, add a wait, and then when it is done waiting have it destroy with the :Destroy() method

These are the steps to making an intro GUI

game.Players.PlayerAdded:connect(function(ply) --when a player enters
    modelcopy = game.Lighting.Gui:Clone()   --copy a preexisting GUI that's in lighting.
    modelcopy.Parent = plr.Playergui --make the copy's parent the player's PlayerGui.
    wait(15)--How long until it disappears
    modelcopy:Destroy()
end)