There are three ways to refer to this activity and the person that does it:
- proof read, proof reading, proof reader
- proof-read, proof-reading, proof-reader
- proofread, proofreading, proofreader
Web searches reveal that all of these are currently used on the internet. Although, the third style of spelling (proofread, etc.) produces a higher yield than the others, suggesting that it is the most popular pattern of spelling.