yes, you can use it to detect transmission. But it looks like overkill to pay 100 USD just to see if there is 2.4 GHz transmission...
I also expect that it can demodulate the signal and show me the data, can it?
technically it can, but you're needs software which can demodulate signals that you want.
I don't know software which allows to do that just out of the box.
Usually such task requires to write your own demodulator, or use GNU Radio blocks.
You can also try
URH software mentioned above, it looks like it do exactly what you want, but I didn't tried this software.
I saw those are also available on Amazon, digikey and mouser but way more expensive. anyone has experience using this Chinese version? wanted to save some if I could.
I didn't tried this shop, but at a glance looks good, the seller has good reputation and good comments.