A little googling turned up a few tidbits about this satellite. From the launch announcement, "Tsinghua Scientific Satellite developed by Tsinghua University is China's first satellite dedicated to the scientific measurement of gravity and atmosphere, and its main goal is to jointly detect the atmospheric density and gravity field in low orbit."
The second link says (thanks to Google Translate) " 'Outer space is not an absolute vacuum, and there is still an extremely thin atmosphere. Measuring its density will help the precise orbit determination of spacecraft and the precise tracking and prediction of space debris.' Wang Zhaokui, head of the Gravity and Atmospheric Science Satellite Team [said]. ... The satellite can obtain centimeter-level precise orbit determination data, realize high-precision atmospheric density and gravity field measurement, and establish my country's own independent space mechanics environment model. At the same time, this mission will also verify the theoretical research results of my country's gravity satellite technology for decades in orbit. The satellite adopts a novel configuration of pure spherical shape, which can ensure that the atmospheric resistance has nothing to do with the attitude of the satellite, thereby greatly improving the accuracy of atmospheric density measurement. In order to ensure sufficient power supply for the satellite, the team designed a spherical solar cell array and overcome the difficulty of small curvature spherical surface mounting process." The article goes on to describe some of the new technology (for space) such as graphene batteries.
According to the third link, it's currently in a 476x500 km orbit. Lowish, but at that altitude it will probably stay in orbit for 20 years or so.
The key point here, I think, is that it is intended to study atmospheric density. That explains its spherical shape, because you don't want solar panels and what not sticking out and complicating the drag you're trying to measure very precisely.
It looks like a buckeyball for the same reason soccer balls do: that pattern of hexagons and pentagons tiles a sphere quite nicely.
I should also mention that getting high resolution gravity field maps also means flying low. Others have flown similar missions. ESA's GOCE mission flew much lower, around 250 km, low enough to require nearly-constant ion engine thrust to maintain altitude. The Tsinghua approach is elegantly simple and low cost, although I have no insight into the quality of the data it will return.
https://www.linkedin.com/pulse/china-launched-gf-no9-04-satellite-successfully-cosats-space/
http://tech.china.com.cn/roll/20200807/368543.shtml
https://orbit.ing-now.com/satellite/46026/2020-054b/q-sat/
https://earth.esa.int/eogateway/documents/20142/37627/GOCE-ESAs-Gravity-Mission.pdf