If you filled out and attached G-1145, you might get a text. It can be a hit or a miss but so far in every step for me (K1/AOS/ROC) I received a text message with a case number in a few business days (~2-3).
Then in a few weeks (up to 6 weeks), you receive a notice of action (NOA1) in the snail mail with your case number and it also serves as an extension of your current GC for 48 months allowing you to work and travel with it.