If you're new at oral sex the first thing you need to remember, is to be gentle and careful about how you approach her clitoris. You might want to take note that her entire pelvic region is also super sensitive to stimulation. The undersides of her buttocks, her inner thighs, and her outer vaginal lips are all super sensitive and love to be kissed, caressed and licked so don't forget to do all that.
Another important fact is to remember to vary your tongue technique enough so that you don't wear out, but not to change so often that you break any wonderful orgasmic momentum you've got going on for her. Make sure you've got open communication going with the woman so that she feels okay to ask you to keep “going” with a particular stroke, motion, etc. that's bringing her particular pleasure.
Your hands are also very important, not only to make sure you're getting to the sweet spots, but also to add the extra stimulation that's suppose to come with oral sex. By using your thumb to lift the skin on her pubic mound just above her clitoris just a bit you'll stretch her clitoris so that it's easier for your tongue to reach all the right places. You can also use your forefinger to tease the entrance of her vagina and of course slip a digit inside to give her vaginal muscles something to grip onto while you're driving her crazy.
One small thing to note is that like any other sex position, you want to get comfortable for oral sex. So talk to one another and find something that you can both enjoy. When it comes to sex, don't worry about being too fancy and just focus on finding something that works.
And finally part of oral sex is of course getting to the juicy bit. But in order to really excite her, try avoiding the main area during the initial part of oral sex. This means instead of rushing down, kiss her all over her body, her breasts, her neck down to her tummy and even the insides of her thighs. Anticipation can really excite someone so when you finally get to her center she'll be really hot and ready for you. So the next time you decide to perform oral sex, take your time.