I bought a HC-06 and connected to Arduino UNO, the LED is blinking as it should, but the module not showing up on iPhone. I've researched anything, but didn't find the answer.
Welcome! The problem is where the orange wire shorts out the blue one. That is what I can see from here. Post an annotated schematic showing exactly how you have wired it. Also following the forum guidelines using code tags post your code. In case you cannot find your data sheet try this link: HC 06 Bluetooth module pinout, features & datasheet
From https://www.instructables.com/Tutorial-Using-HC06-Bluetooth-to-Serial-Wireless-U-1/
"Please note that the Bluetooth module used in this tutorial is not compatible with iOS devices - instead, you will need a Bluetooth LE (Low Energy) module or an Arduino-compatible with onboard BLE."