I would put that to the test.
If this doesn’t work out-of-the-box, you probably are going to need output from
lsusb -v but you may be better off also specifying
-s in order to limit the amount of output i.e.
lsusb -v -s2:7 but before that I would also look in the system log / journal to see what messages are appearing when you connect the dock and/or also the monitor.
The internet doesn’t seem to think much of the combination of Linux and DisplayLink. (You could ask DisplayLink what the current state of play would be expected to be with Linux. I note that Amazon simply says, for that product, “Linux not supported”.) You haven’t explicitly said what distro you are using.
If it were me, I would be trying a simple USB-C DP video altmode to HDMI adapter (assuming your monitor has an HDMI input). If that works then you might get more adventurous and try a dock.