WordNet sense 1 (someone who contracts to receive and pay for a service or a certain number of issues of a publication):

subscriber

WordNet sense 2 (someone who reads manuscripts and judges their suitability for publication):

referee, reviewer

WordNet sense 3 (someone who reads proof in order to find errors and mark corrections):

proofreader

WordNet sense 4 (someone who reads the lessons in a church service; someone ordained in a minor order of the Roman Catholic Church):

lector

WordNet sense 5 (a public lecturer at certain universities):

lecturer