How to teleport to another place after you click a gui?

Okay so it seems like you are new to coding, let me recommend you this site. I assume that the object is the TextButton and I also assume that the Activated event actually triggers (you can confirm that by putting something like print("hi") in the function) Now, you should never ever teleport a player with a localscript. Use a RemoteEvent. I will be nice and give you the code you need this time So put a remoteevent in ReplicatedStorage and call it teleport. In the onActivated function you would fire that event by game.ReplicatedStorage.teleport:FireServer(). (In case you're wondering, you don't have to pass the localplayer variable in the function because it automatically does that for you.) Then, you need a Script. Put it in the serverscriptservice. In that script, you will need to listen for the event so you can teleport the player. This is a nice little way of handling events without creating extra functions for them:

game.ReplicatedStorage.teleport.OnServerEvent(function(player)
	--the actual teleporting part
	player.Character.HumanoidRootPart.CFrame = workspace.object.Position+CFrame.new(0,5,0)
end)

Now obviously you have to replace workspace.object.Position with the object/coordinates you want to teleport your player to/at.