No, you should not be charged twice, as long as you did not make any changes to the GTC order, such as changing the amount of shares, or the limit price.
From Ameritrade's website, rather than those who prefer to show lack of dd:
Orders executed in multiple lots on the same trading day will be charged a single commission. When an order is partially executed over multiple trading days, the order is subject to a separate commission charge for each trading day.