Proofreading
Proofreading generally entails reading through a text to find small, careless errors: omitted or repeated words, subject–verb disagreement, homonym substitutions, and the like. It includes correcting word choice—persuade versus convince, say—but and pointing out (but not fixing) errors of logic.
If I am the first editor seeing your piece, unless you are an experienced editor yourself, you probably need more than proofreading.