Answer by taking a quote from the following article:

KAT-TUN (katoun, Katun) is a Japanese boy band formed under Johnny & Associates (Johnny's) in 2001. The group's name was originally an acronym based on the first letter of each member's family name: Kazuya Kamenashi, Jin Akanishi, Junnosuke Taguchi, Koki Tanaka, Tatsuya Ueda, and Yuichi Nakamaru. Their debut on March 22, 2006 was marked by a tripartite release of a CD single, album and music DVD on their exclusive record label J-One Records. Since then, all of their single, album and music DVD releases have debuted at number one on the Oricon music and DVD charts.

On March 22, KAT-TUN released their debut single "Real Face", accompanied by an album, Best of KAT-TUN and a DVD Real Face Film. These were released on their own label J-One Records. The group also went on a nationwide tour, Live of KAT-TUN "Real Face", in support of the album. Within the first week, Best of KAT-TUN, "Real Face" and Real Face Film topped all three Oricon weekly charts by selling 556,548 copies, 754,234 copies and 374,202 copies respectively. They became the second artists to do so, the first being Ayumi Hamasaki. With these numbers, KAT-TUN holds the record for the highest weekly single debut sales (previously held by Arashi with their debut single "Arashi" of 557,000 copies sold in 1999). In addition, "Real Face" topped the Oricon charts for three weeks straight, becoming the first debut single to do so in Japan in 8 years 8 months since KinKi Kids' debut single "Garasu no Shonen." The single sold over a million copies in nine weeks, making "Real Face" the highest selling single for the year 2006.  In March 2006, KAT-TUN became the first group to hold their own performances in Japan's most popular stadium, Tokyo Dome, before debuting. They performed to 110,000 people over two days and about 630,000 people in total during the tour. About three months after releasing "Real Face", KAT-TUN released their second single, "Signal", on July 19.  On October 12, member Akanishi announced a hiatus from the group in order to study linguistics abroad in the United States, leaving KAT-TUN as a five-member group for six months. The remaining members continued activities by releasing their third single, "Bokura no Machi de" as the theme song to members Kamenashi and Tanaka's drama, Tatta Hitotsu no Koi and their second album, Cartoon KAT-TUN II You on December 7.  KAT-TUN is the first group in Japan to have all three singles from debut to exceed 500,000 in yearly sales, taking first, fifth and thirteenth place on the Oricon yearly singles chart.

What songs were on the album?
They became the second artists to do so, the first being Ayumi Hamasaki.