UQ Holder wasn't terribly long, with only 12 episodes under its belt, so as of now, it lacks the number of music releases that its predecessor does. So far, the anime only has a single CD has come out. The official soundtrack later released as part of its Blu-ray box set release.
Anime Opening and Ending
UQ Holder has a single opening and ending theme and much like Negima, those songs are performed by the voice talent of the show.
Happy☆Material
Singers: Yuka Takakura, Yuuki Hirose, Ai Kayano, Yui Ogura, Sayaka Harada, and Akari Kito (The voice actors of Touta, Kuromaru, Kirie, Karin, Shinobi, and Mizore respectively)
Steady→GO!!
Singers: Yuka Takakura, Yuuki Hirose, Ai Kayano, Yui Ogura, Sayaka Harada, and Akari Kito (The voice actors of Touta, Kuromaru, Kirie, Karin, Shinobi, and Mizore respectively)
Media Releases
As mentioned above, only one individual CD has come out for the series so far. The original soundtrack was released with the anime's Blu-ray box set.