What’s the difference between Task.Start/Wait and Async/Await?

I may be missing something but what is the difference between doing:

public void MyMethod()
{
  Task t = Task.Factory.StartNew(DoSomethingThatTakesTime);
  t.Wait();
  UpdateLabelToSayItsComplete();
}

public async void MyMethod()
{
  var result = Task.Factory.StartNew(DoSomethingThatTakesTime);
  await result;
  UpdateLabelToSayItsComplete();
}

private void DoSomethingThatTakesTime()
{
  Thread.Sleep(10000);
}