The correct answer is C. She said she was going shopping and asked if she could get me something.
Option A is incorrect because the speaker did not say “if I wanted something.” She said “Can I get you something?” This means that she is offering to get the listener something.
Option B is incorrect because the speaker did not say “as if I wanted something.” She said “Can I get you something?” This means that she is offering to get the listener something.
Option D is incorrect because the speaker did not say “she is going shopping.” She said “I’m going shopping.” This means that she is going shopping herself.
The speaker is offering to get the listener something while she is shopping. This is a polite way of asking if the listener needs anything.