Completed in 1959, the building was an example of the International Style applied to school design, resulting in a modernistic exterior look.

The school offers numerous Honors and Advanced Placement courses for students to elect.

Advanced Placement is offered for Biology, Chemistry, Physics, Calculus AB, Calculus BC, Computer Science, Economics, English Language, English Literature, Environmental Science, European History, French, Music Theory, Psychology, Spanish, Statistics, US History, and US Government.

In soccer, Jordan Gruber set the Michigan State High School goal-scoring record with 69 goals as a senior.

Groves Student Congress (GSC) is responsible for planning school-wide activities and events such as Spirit Week, Field Day, Extreme Dodgeball, Operation Volleyball, Sadie Hawkins Dance, Wylie's Winter Week, and two blood drives.

Groves students also run their own events independent of the school, including the seniors-only "Water Wars" tournament at the end of the year.