Whether its intercepted via normal internet use,or not,they still need to data mine what is passing through the system,and that is a ton of data to sift through on social media. That includes everything from PCs to mobile phones. So serious computing power on the back end.
Tempora and its related systems would need to use algorithms to identify what is "problematic" and so would this "AI". It would be nigh on impossible to store everything that passes through the system on a daily basis,so you need to cut down what needs to be stored or analysed. Tempora like this "AI" would use a form of deep learning. So in both cases,the systems would need to be trained to cut out false positives,and only intercept/store/block stuff which is deemed to fall within certain parameters,and the parameters will be refined as they pass more and more data through it(training the network).
So this is for me just an extension of the same tech. In fact I would like to know where the back end of all of this is hosted. Is it GCHQ?? ISPs? Google? Facebook?? It has to be something UK specific as I can't see countries wanting a UK based system monitoring their citizens when they would rather do it themselves!!