Alta is a great family-oriented ski resort. Long, winding, gently sloped runs are great for getting one's "ski legs" back after a few seasons off. Also a great place to learn.
As with all ski areas, arrive early. The best snow and the shortest lines are early in the morning. Spend a few minutes with a ski patrol member getting recommendations about ski levels on the runs. The green slopes vary widely, but there is something at Alta for skiers at all levels.
Check in with the ski school for "touch up" or advanced lessons. The school is highly recommended, and the senior level instructors that teach there make the skills behind the praises quite obvious.