[colechristensen]

Yes. The key here is the difference between frequency and bandwidth.

The radar isn't using the entire 0 Hz to 60 GHz band, it will be using something like a few GHz or sometimes much less. i.e. 60-64 GHz

Also much of the processing isn't done on general purpose processors but in FPGAs or ASICs which can do lots of the parallel computation very fast.

For comparison 802.11ac has a max of 120 MHz channels, and that's cheap and everywhere these days (but runs on 5 GHz).

There are lots of basically tricks to reduce the amount of data in successive stages so that the processing is quite possible.