High draft picks always get their playing time, especially when they are considered a "generational talent".
Overall, yes, players selected with the first picks in the draft typically receive a lot of minutes in their debut season, but that's not always the case. Take, for example, Kwame Brown, Anthony Bennett, and Markelle Fultz, who were selected with the first draft picks, but in their debut season, they got few minutes and their performances were very poor, which isn't typical for players selected with the first pick in the draft.