You can either view them through The Spore Game or www.spore.com.
To look at them through The Spore Game, go into the sporepedia go to My Stuff and then Achievements.
To look at them through spore.com you need to log in then go to my spore page and under the your latest creations should be a link to view them.
It takes 1 day to update your achievements. You must have an online account to view them as well.