In order to be able to communicate with the SIM card, you need a device that connects a PC and a SIM card.
The most common, however, quite simple and reliable is "Phoenix".
There are several implementations of it, but they are all basically identical.
The differences consist only in how complicated the scheme of the hardware itself is.
This is reflected in the stability of work, but even the simplest assemblies allow you to normally send and receive data.
I made my first "Phoenix" a long time ago (several years ago), tried its other implementations, and stopped at one of the schemes, which has been running steadily for quite some time.
Transmission frequency: 3.57 MHz;
Card reset: direct;
Connection: Com Port;
Power supply: external or Com Port;
Purpose: to communicate with SIM cards.
I propose to assemble a scheme that combines "Phoenix" and "Ludipipo".
The first is already known to you, but the second is the PIC microcontroller programmer.
Such a combination is successful if only because you do not need two devices for your experiments, you will not need to change the programmer to the reader (or vice versa) depending on the situation.
Despite the fact that the circuit combines two devices, its complexity is not great.
You will need a sheet of foil-coated textolite with a thickness of 1–1.5 mm, soldering accessories, iron (III) chloride, and details:
All parts solder on the board according to the scheme:
All schemes can be downloaded in the form of this archive .