Get Caught Reading Month was founded in 1999 by the Association of American Publishers but is now managed by Every Child A Reader. This is a national campaign that actually runs year-round, but May is set aside to observe it to encourage literacy.
The best way to enjoy it is to grab a book (no matter how long), magazine, pull up an article on your phone or tablet… just read. Read independently, to your child, your spouse, or as a family. Teachers, read to your classes. Maybe challenge yourself by trying a new author or genre this month.