Student or Learner
"would you like to accompany me to the cafeteria?"
is this sentence ok, please?
how would a native say it, please?
"Would you like to accompany me to the cafeteria?"
perfectly OK. Yes, it is said in the USA when the person asks another person out for lunch.
Would you like to go to the cafeteria with me? My treat.
May I buy you lunch in the cafeteria?