This guide can't be used to stream DS games and DSiWare. You will need a capture card to do that.
This page will show you how to stream your 3DS' screens to your computer over WiFi. For both methods, keep the following things in mind;
Your console and your computer need to be on the same network.
Streaming audio over WiFi currently isn't possible, you will need to use an AUX cable and a device with Line In to receive audio.
If you have a poor connection, you may not get the best results.
While you shouldn't stream from an Old 3DS console due to the very low frames you will get, the section is still here as a 'proof of concept' thing that you can mess around with. It is not intended for practical use.
Streaming with NTR+Snickerstream (recommended)
This method is not possible with Old 3DS models. You will need to follow the HzMod guide below.