Paraglider Pilots can induce a stall by holding the brakes at seat or waist height until the wing retards. The wing does not want to do this and will resist but a full stall will eventually be induced this way. Pilots will feel and hear the reduction in forward airspeed. To come out of a stall, the pilot may smoothly move the position of the brakes upwards anticipating a surge where the wing recovers and may dive or surge in front of the pilot. Performing a 360 in light wind conditions, the side of the wing on the inside of the turn may stall. Typically, smoothly and promptly coming out of the turn using the brakes, will cause the wing to recover, failure to recover may result in a flat spin. Flying near full speed with minimum brake also risks a deflation of the wing on the left centre or right sides. This might be exacerbated if the pilots all-up weight is at the upper or lower weight limit of the glider; typically gliders come in xs s m l xl sizes. Prompt appropriate use of the brakes is pretty much all a paraglider pilot has to recover normal flight in all the scenarios above. If in doubt pilots should follow the instructions in the gliders manual and ensure they have enough recent flying hours in the conditions they wish to fly that they can do so safely, ie not freeze, recognise the symptoms of a stall for their glider, and react appropriately. Like all aircraft it won't be possible to recover from a stall below a certain height, so a pilot should have enough skill not put themselves at risk whilst still having fun!
I imagine hang glider pilots will feel and hear the wind, and be aware of the pressure on the control bar. I'm guessing their priority will also be to get air flowing over the wing by pulling in on the control bar - but I'm only guessing as I was a PG pilot not an HG pilot.