No, netball is similar to basketball (it was developed from basketball as far as I know). The only nets in netball are the ones around the goal hoops at the ends of the court, like a basketball hoop.
Wikipedia has a better explanation of how it's played than I could give you.
http://en.wikipedia.org/wiki/Netball
A few of the biggest differences between netball and basketball are:
The goal hoop does not have a backboard in netball.
There are 7 players on court for each team.
Only designated players can shoot for goals in netball.
Each player is assigned to a specific area of the court and must stay in that area during the game.
Players cannot run or dribble with the ball when they have it, they must stay in one spot and throw the ball to another player.
The ball cannot be thrown from one end of the court to the other, it must be passed to one of the players in the middle section of the court before being passed to a player at the other end of the court.
There are strict rules about how close an opposing player can get to a player who is holding the ball.
Since you've mentioned vollyball, and this thread is sport uniform related, does anyone here have a femme beach vollyball uniform? *grin*