She said to me, “I’m going shopping. Can I get you something?”

She said she was going shopping and said to me if I wanted something.
She said she was going shopping and asked as if I wanted something.
She said she was going shopping and asked if she could get me something.
She said she is going shopping and asked if she could get me something.

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.