The DAS trader sim comes with a subscription to live market data feed. So you have real-time data as if you were trading with a real margin account. The only difference is that you don't have broker transaction fees. If you wish, BBT members benefit from a discount offer for a three-month subscription. This subscription is available with replay. Thus, you can download data from any trading day's tickers and practice outside market hours.
If you don't take the discount. The replay is available as extra. Last time I check it was 10$US by month.
Hope it help!