I am new to 10/22's also, but
www.rimfirecentral.com has a lot of great discussions about them. It seems that an aftermarket barrel is the best way to improve the accuracy of a 10/22, and Green Mountain barrels are popular over there for their accuracy, and reasonable price.
You can also lighten the trigger by simply installing a Volqartsen hammer, which costs around $30-35 dollars. Tech sights look like a good option for iron sights, with a better sight picture and longer sight radious. Unfortunately, most aftermarket barrels don't have the dovetail for a front sight, but you can get GM barrels with "fire sights."
I am going to get the VQ hammer, and tech sights, and see how that goes. I can shoot pretty decent groups with a totally stock setup. I am still practicing, but with bulk Wal-mart ammo, at 50 feet I have done 3 shot groups with the hits all touching each other.
I love the cheap ammo, so practicing isn't cost prohibitive, and I've been having a lot of fun with my new 10/22. I downloaded and printed up some of the Appleseed free promo targets which are fun. You put them at 50 feet, and it has scaled targets to simulate 100, 200, and 300 yard silhouettes. They have 3, 4, and 5 point areas for each silhouette, and you shoot 3 shots at each one and add up your score, to measure improvements. You are supposed to shoot at the 100 yarder standing, offhand, then the 200 seated or kneeling and the 300 prone. I shoot at an indoor range, so I do the first two standing, then rest my elbows on the shooting table to simulate prone.