In addition to general academic subjects, we study basic matters about machinery, and hold practical training sessions to learn how to use and apply various machines and techniques.

Literal

General subject [gen-の] other [at-に] machine [about-についての] basic [attr-な] matters [obj-を] learn-[and-し], various [gen-の] machine [gen-の] usage [and-や] technique [obj-を] make-body training [etc-など] [obj-を] do.

A formal description of a vocational school or department's curriculum. 普通科目 ('general subjects') contrasts with specialized training. ~について ('about, regarding') is the standard 'about X' phrasing; ~についての turns it into an attributive modifier. 身につける ('to put on one's body') is a fixed idiom for 'to acquire a skill.' The connective し chains parallel clauses. The sentence is long and formal, typical of school pamphlets or syllabi.