I've attended several MovNat workshops and the workouts themselves are not inherently structured (i.e. do X,Y,Z for 8 reps x 3 sets x 3 days a week), but they can be.
A typical MovNat workout may start with a mobility series. For example, sitting down with your legs folded underneath you and stepping out into multi-directional lunges. Going from a full squat (butt on the ground) to standing in various ways (using both hands to assist, using one hand to assist, using no hands to assist by rocking back first and then rocking forward onto the feet).
After warming up, a "combo" may be constructed based on what is available in the environment. Is there a log or heavy stone around? Good! That can be either picked up in a deadlift style, hoisted to shoulder height and carried for a distance, pressed over head, or thrown. If there is a post or a pole, it could be used to climb on (like climbing a coconut tree, keeping your feet under your hips and you legs splayed out). If there are some monkey bars, they could be used for brachiation (swinging like a gibbon) or if it is a single pull-up bar, you could work on your single leg swing, forearm kip, "dough boy", or muscle up (all ways to get from a dead hang position below the bar to on top of the bar.) If you have a little space, you can practice landing softly with tuck jumps, or landing broad jumps precisely by focusing on a specific target. You could also incorporate some crawling patterns by moving on all fours in different directions ("cat walk", "monkey walk", etc.) A sturdy fence might provide an opportunity for balancing, and if you can do that, perhaps walking along the fence, moving into and out of a squat, or doing "kick throughs" (placing one hand on the beam while kicking the inside leg forward and then back, switching sides and repeating with the other leg).
I hope this makes some sense, but in essence, MovNat is about exploring your environment with mindful movements. It's not about tearing around as fast as you can while huffing and puffing, it's about efficient coordination and effective technique while locomoting (climbing, running, jumping, crawling, swimming, etc.), manipulating (throwing, catching, moving objects), or combating (self-defense in the style of Krav-Maga).