She is eating a noodle.

(Does this mean she is eating a piece of noodle? When she is eating "noodle' for breakfast, what expression do we have to use? 1. She is eating noodles. 2. She is eating a noodle.)

if she's only eating one piece of a noodle, then it would be She is eating a noodle. If she is eating a bowl of noodles-- she has more than one piece of noodle on her spoon, fork, etc, then it would be She is eating noodles.

"anonymous" is correct. Use #2.

The sentence "She is eating a noodle" suggests that she is eating a single piece of noodle. However, when someone is eating a meal or dish consisting of multiple strands or pieces of noodle, it is more common to use the plural form "noodles." So, to accurately describe the act of eating a meal with multiple pieces of noodle for breakfast, the correct expression to use would be "She is eating noodles."