Yep that looks like a RCD 330 alright. The App button suggests that it's the B Variant which means slightly more RAM than the original version and Smartphone connectivity though check the firmware to see if you got either the stock version (Apple CarPlay & Baidu CarLife) or the modified one (Full App Connect - Apple Carplay/MirrorLink/Android Auto). Installation is basically swap out the old unit and slot in the new - plug and play.
You may need to update the Canbus Gateway to avoid battery drain if you haven't done so, check to see if you got a version later than Revision L otherwise get a 7N0 907 530 gateway and recode - VCDS (Vagcom) is your friend for this job.
You also need a twin FAKRA to single FAKRA cable adapter to get the radio signal working (though some get away connecting just one FAKRA cable but I'm not sure on signal strength).
As a note the RCD 330 does not work with the stock MK5 MFSW and steering wheel control module. You may need to upgrade the control module to version CH and possibly the steering wheel itself to get full controls working with the unit.