Getting that second opinion/read can be very helpful. Often, the other person will spot misspellings. Sometimes, she (or he) can help you tweak the tone to better fit your document's audience. And most important, she can point out areas that are unclear. Those in particular are the things you'll want to re-write.
It likely won't take much time for your co-worker to review your document. And after she does, offer to return the favor the next time she has written something where she needs a second opinion/read.
In my experience, every time I've asked a fellow employees to preview a document, they've always had good suggestions for improvement. About 99% of the time I've made the changes they recommended.