In the scene where Lorelei and Rory are sitting at a table, with Rory looking at herself in a mirror, they talk about Rory's hair. Right after this, Rory asks, "do you want something to drink?" Her mouth doesn't move at all.
In some episodes, Rory speaks Spanish (e.g when she is talking to her grandmother's maid). She speaks very poorly, typical "school-Spanish". This is just acting; Spanish is actually Alexis Bledel's first language. Her mother is from Mexico and her father is from Argentina.