I don't believe this model had the Sensi-Temp burner. However, in 1959 GE was still using the Automatic burner (Sensi-Temp debuted in either '60 or '61), so the temperature would have been controlled by a sliding bar in front of the switch. This one appears to have a conventional, 6-button switch to control the left front burner.
Can't say about the partial/full coil option.
It does have the rotisserie feature.
lawrence