If it were me I would change all fluids and filters. Engine oil and filter. Inspect, clean or replace the fuel filter.
I would check all the bolts for tightness. Make sure there is anti freeze in the radiator if needed where you live.
Also change the front differential oil. You never know if the previous owner had the front end under water enough to get water in the breather tube.
Grease the loader often...especially on delivery.
Buy the service manual. Expensive but worth it from what I read here at TBN. On my list to do, but keep forgetting to do so...costs the same when you get the tractor as it does years later...
Enjoy your new friend...