1). Is it watertight? Not sure how to check on quick inspection (others here will know), but I would look at rudder tube on hull and make sure it at least looks intact, not repaired. Ask if it leaks as most ski owners are honest.
2). Adjustable foot boards.
3). Is it stable/wide enough? 19” min, I would say, for beginner.
4). Make sure the steering cable tubes are visible and firmly attached. Two attachments points in front, two in back.
There is nothing more frustrating to me than finding and fixing a leak or having steering cable tubes become unattached (major repair), while having knees too high or not being to reach the foot board, or having ski too tippy makes it almost unusable.
KR McGregor Rhythm, V10Sport, Swordfish S, Fenn Tarpon S, Fenn XT, Twogood Chalupski, Findeisen Stinger spec. Had: V12, Stellar SE, Huki S1-X, Burton wedge2, Fenn Tarpon