var
  lines: TStringList;
  pos: TPoint;

const
  CHAR_INTERVAL = 75;
  PARAGRAPH_INTERVAL = 1000;

procedure TForm6.Button1Click(Sender: TObject);
const
  S_EMPTY_FILE = 'You are trying to display an empty file!';
begin
  Memo1.ReadOnly := true;
  Memo1.Clear;
  Memo1.Lines.Add('');
  pos := Point(0,0);
  if lines.Count = 0 then
    raise Exception.Create(S_EMPTY_FILE);
  while (pos.Y < lines.Count) and (length(lines[pos.Y]) = 0) do inc(pos.Y);
  if pos.Y = lines.Count then
    raise Exception.Create(S_EMPTY_FILE);
  NextCharTimer.Enabled := true;
end;

procedure TForm6.FormCreate(Sender: TObject);
begin
  lines := TStringList.Create;
  lines.LoadFromFile('C:\Users\Andreas Rejbrand\Desktop\Test.txt');
end;

procedure TForm6.NextCharTimerTimer(Sender: TObject);
begin
  NextCharTimer.Interval := CHAR_INTERVAL;

  Memo1.Lines[Memo1.Lines.Count - 1] := Memo1.Lines[Memo1.Lines.Count - 1] + lines[pos.Y][pos.X + 1];
  inc(pos.X);

  if pos.X = length(lines[pos.Y]) then
  begin
    NextCharTimer.Interval := PARAGRAPH_INTERVAL;
    pos.X := 0;
    repeat
      inc(pos.Y);
      Memo1.Lines.Add('');
    until (pos.Y = lines.Count) or (length(lines[pos.Y]) > 0);
  end;

  if pos.Y = lines.Count then
    NextCharTimer.Enabled := false;
end;