This missile is still quite a capable one even if not the type of HGV we typically attribute to "hypersonic weapon". It is still a hypersonic weapon in the sense that it is a controllable/steerable weapon.
This is similar to Chinese DF-21D and US LRHW. Using fins and very basic conical "glider". Iran has so many types of these hypersonic weapons too.
It is not similar to DF-17, DF-27, YJ-17, YJ-19, DF-100 or CJ-1000 as these are wedge/winged gliders with much greater energy boosters and/or engine powered. YJ-19 uses scramjet but CJ-1000 may use more exotic propulsion beyond scramjet like combined cycle or some form of continuous detonation engine like the many test flown even by Chinese public institutions.
Now the most impressive part is the guidance and control not just the flying missile. If India can hit moving ship sized targets with this, it is implying mastery of an entire kill chain that isn't apparent. Typically made up of constellations of earth observation satellites in both GSO and LEO, HALE ISR drones like WZ-7, WZ-8, WZ-9, WZ-10. Public launch data and traceable space launches throughout the decades indicate India has not formed and does not possess the level of ISR space assets. India also does not have any HALE ISR drones. So they would have achieved hitting moving target in some other fashion. Provided their claim of ability to hit moving target is true.
How can they do this? Inertial guidance and real time target data being fed to other forms of kill chains. Ship based sensors and MALE drones they have which can form part of the kill chain and really capable inertial guidance would be required. Or the missile itself has self contained active seeker with long enough range to pick up, interrogate and home in on target. Most likely a combination of both.