Hard to say from the vid but likely a well executed but riskier than "necessary" maneuver. Not saying I wouldn't do it but perhaps not a good example to display.
You've never flown around Mt Whitney.. it gets from Real High, 14,491MSL, to real low, 3680MSL at the Lone Pine Airport.. only 10nm from peak to airport.
And in the video they only went down to 9KMSL... a 5000ft drop in less than 5nm.
The pilot is an expert on flying the Desert Southwest and the California Sierra's.
The beeping noise at the beginning is the audio vario. Later in the flight when they are skimming the ground, the pilot pulled the airbrakes to remain below Vne in the descent triggering the gear warning system.
I believe you are referring to the gear warning horn or perhaps the audio VSI. They had the airbrakes open quite a bit during the descent and whenever you open them without the gear being down you get the horn. The audio variometer (VSI) makes a less alarming but more singsong up and down noise. Without the audio on the vario, glider pilots can tend to stare at the instrument which is bad since it can't kill you and there are a number of things OUTSIDE the cockpit that can.
I doubt they pulled the brakes to remain below VNE. I think it more likely the brakes were out simply to adjust the glide angle to more closely match the terrain. In other words, to get lower. Might be a combo.
When I was ridge soaring the costal ridge in NZ we'd pull the brakes half a mile out over the ocean to lose altitude so we could buzz the highway and scenic overlook pedestrians on the ridge 800 feet above the surf.