The Week’s guide to what’s worth watching

The best programs on TV this week

Carole King: The Library of Congress Gershwin Prize

Ain’t it good to know that Carole King has some friends in Washington? The 71-year-old singer-songwriter was feted at the White House on May 22 in a star-studded event in which she became the fifth winner of the Gershwin Prize for Popular Song. PBS’s rebroadcast of the ceremony captures King, James Taylor, and Billy Joel in performance as they celebrate a career that’s produced some 100 hit singles, beginning with a song King co-wrote at age 17—1960’s “Will You Love Me Tomorrow?” Monday, June 3, at 9 p.m., PBS; check local listings

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Through the Wormhole

There exists a realm beyond everyday experience where some TV programming is created for the thinking person. This mind-blowing science series, hosted by Morgan Freeman, is now entering its third season of exploring questions like the one that frames this week’s episode: “When does life begin?” Wednesday, June 5, at 10 p.m., Science Channel

Graceland

Elvis is not in the building in this new drama series, but six undercover agents are. Based on the true story of a group of undercover federal agents who operated out of a beachfront California home, the series sometimes looks like USA’s other sun-drenched shows. But there’s a bit more grit to this one, and real intrigue, too. Thursday, June 6, at 10 p.m., USA

In the Flesh

Tales about zombies are legion, but this new miniseries from the BBChas a clever twist. Luke Newberry stars asa young man who committed suicide as a teenager, rose from the dead as part of a zombie horde, and has since been “rehabilitated” by medication and sent home to reintegrate with the family and community he wished to leave behind. Thursday, June 6, at 10 p.m., BBC America

Other highlights

Mistresses

Alyssa Milano and Lost’s Yunjin Kim star in this soapy drama based on a British series that exists in a middle ground between Desperate Housewives and Scandal. Monday, June 3, at 10 p.m., ABC

Teen Wolf

This high school werewolf series based on a solid 1980s film enters its third season with a reputation for having smart fun with the genre. Monday, June 3, at 10 p.m., MTV

The 2013 NBA Finals: Game One

The pro game gets much more defense-oriented as the playoffs progress, which makes for riveting basketball—no matter who plays the Spurs. Thursday, June 6, at 9 p.m., ABC