According to The Hollywood Reporter, "Vital Signs" "is billed as semi-autobiographical, with each episode focusing on a different emotion and how Dre's character deals with it".
Sam Rockwell and Mo McCrae will also star while Paul Hunter will direct the show, which was conceived by Dre and pitched to Apple.
It is not yet clear on which platform Apple will choose to air the series, although Apple Music has been touted as a likely contender.
Dre - who is married to Nicole Young - has been involved with Apple previously and in 2014, he and Jimmy Iovine sold Beats Electronics to Apple for USD 3 billion.