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Readers of all ages can start signing up for a summer program at the Milford Town Library on Monday and be eligible to win prizes from the Boston Bruins. “Dig into Reading” is a statewide program sponsored by the Massachusetts Library System, the Bruins, and the Massachusetts Board of Library Commissioners, with funding from the Institute of Museum and Library Sciences. Readers in three categories, ages 5 to 7, 8 to 11, and 12 and up, can sign up at the library or online at www.ReadsinMa.org, and begin keeping track of the books they read over the summer. Participants will be eligible for prizes that include a signed puck by Bruins forward Brad Marchand, a team-signed jersey, a Zamboni ride between periods of a game next season, and a chance to sit on the team’s bench at TD Garden during pregame warm-ups.