There's nothing built-in to the iOS APIs for musical pitch estimation. You will have to code your own DSP function. The FFTs in the Accelerate framework will give you spectral frequency information from a PCM sampled waveform, but frequency is different from psycho-perceptual pitch.
There are a bunch of good and bad ways to estimate frequency and pitch. I have a long partial list of various estimation methods on my DSP resources web page.
You can look at Apple's aurioTouch sample app for an example of getting iOS device audio input and displaying it's frequency spectrum.