It's free to walk around the Hoover Dam. It costs $10 to park on the Nevada side or right across the dam on the Arizona side. It's free to park on the Arizona side after Lot 9. I suggest getting there early, especially on the weekends or holidays.
There are a few tours. We did the $15 tour that gave us access to the museum & see the lower level of the dam.
Interesting explanation of the dams on the Colorado River in the older museum area.
View from the "new" bridge. Park & walk a short distance for a great view.