I learned my amino acids and nucleotide bases with flashcards. I had the structure one side, and the name and 1 & 3 letter codes on the other side. Every night before I went to sleep, I flipped through them. Eventually I didn't need to draw them out, I could just verbally describe the structure to myself. If you do it every night, I bet you have them down in no more than a week and a half.
EDIT: If you're like me and like to print out notecards (yes, I'm weird, but they're very clean looking then!), I can send you a word document that has all of the structures and abbreviations set to notecard size for printing.