Connect Arduino via wifi and send information to another arduino (via wifi)

Using Arduino Interfacing w/ Software on the Computer
1

HI all, I'm working on a project where I'd ideally like to have an arduino wirelessly connnected to the internet via wifi sending information over the internet to another arduino wirelessly connected to a different network which receives the information.

So that being said could you help me understand what sort of hardware and software I'd need step by step?
In other words:
Step 1: How should I connect the arduino to the wifi (what hardware and software allow information to wirelessly be transmitted).
Step 2: How could I then transmit this information to someone else's network.
Step 3: And finally have this information be transmitted to an arduino via wifi.

I have zero background in networking (literally, zero) and a small background with Arduino and coding so if you could explain a lot of basic terms as you use them like TCP/IP , or shield for arduinos, that'd be great.

2

I have zero background in networking

Then, I'm afraid that this is not the project for you.

3

This is my project that can help you

U can create a online database where First arduino write data and Secon Adrduino read data

[First Arduino] >> WRITE >> [dataino.it] <<<< READ [Second Arduino]

follow this example step by step and have a code for the second Aduino http://www.dataino.it/help/document_tutorial.php?id=12

change the command http and have a Writer arduino

READ Value:
http://94.23.64.3/~dataino/api/read_value.php?api-KEY=x1g6-q584-5CC1-1a4p-5861&Fan_Speed=I&Brightness_Light=I&Light_on_off=B

SET Value:
http://94.23.64.3/~dataino/api/set_value.php?api-KEY=x1g6-q584-5CC1-1a4p-5861&Fan_Speed=0&Brightness_Light=0&Light_on_off=0