The name Genseiryu Gensei-Ryu in Chinese / Japanese...

玄制流 is the Japanese title for the Genseiryū or Gensei-Ryū style of Karate.

Taidō (The Way of the Body) is a style of Karate practiced in Japan and popular worldwide.

Taidō or 躰道 traces a lineage from Genseiryū (玄制流), which came from Shuri-te (首里手), one of the original martial arts schools of ancient Okinawa.

The first character 躰 is a variant of the original Chinese character 體. In modern Japan, they tend to use 体, a more simple character form. 体 is also the modern Simplified Chinese form of 體.
The 躰 character is correct for this 躰道 martial arts title. But it can be confusing with so many variants out there, not to mention other homophonic Japanese words that also romanize as Taidō or Taidou.

To have a bit more fun with this 躰 character, it has a 身 radical on the left, which sets it apart. The meaning doubles up on the “body” as 身 (shin) is a character that also means body in Japanese and Chinese. On the right is 本, which often means root, stem, origin, source, or fundamental (but can also mean “book” in some contexts). This has deviated from the original 體 which was 骨 (bone) + 豊 (vessel). Hence, the body was your “bone vessel” in ancient Asia.

The meaning of 躰, as well as 體 and 体, is usually translated as the body. When related to the physical body, it can also refer to the torso, trunk, build, physique, or the constitution of a person. As an extension of this, it can also refer to someone's health (good body = good health).
However, depending on the context, it can encompass other meanings such as form, style, system, experience, aspect, corpus, corporeal, substance, or essentials.

The second character, 道, is recognized and well-known as the “Way” and is the same “do” as in Karate-do or Aikido.