Ok I've been searching googling and learning all morning. I've installed gatttool, learned about hciconfig, hcitool, sdptool, and a bunch of other stuff and I still cannot find the answer.
I would like to be able to have a bluetooth process on my raspberry pi that I can connect to from my iPhone's "bluetooth" menu. Seems like it should be really really simple.
I've seen guides and tutorials about connecting to a bluetooth device from a raspberry pi, but nothing that will allow me to make the raspberry pi the bluetooth device.
I've also tried running: sudo hciconfig hci0 piscan, but this didn't really do anything for me. 
Is it possible to have my raspberry pi participate in the Service Discovery Protocol and be found by my phone?
Update:
I've also seen this answer Automatically accepting Bluetooth connections on a Pi 3 using this command: hciconfig hci0 sspmode 1, and while that seemed promising it didn't resolve the issue
 
     
    
 
    