I'm pretty sure if you want it, you're going to have to pay. There was a trick to make the Shop channel a browser, but I'm not sure if that's possible with latest firmware even. You're better off just buying it... More features.
ive had my wii since march and then i downloaded the opera browser for it and yesterday i went round my friends to set up his internet for him and i went on the wii shop channel and it was 500 points i dont know why they didnt just keep it free cuz then its not fair on the people who dont have it cuz then sum people have to pay for it while others like me dont thats why im on this website getting stars so i can let my friend have the internet for free!!