As for clothing, our trainer isn't picky, but I make Kitten wear jods and her schooling boots. She can wear a t-shirt or cami, but I insist she have proper pants and footwear. I don't like jeans when she rides English because it rubs her saddle and created marks.
Some riders also prefer gloves, but that is up to your trainer.
Also, if your horse is spur trained, have your spurs on. If you use an over-under (Western) or crop (English), make sure you have that too.
We're in Texas, so in the summer I make sure we have plenty of water/gator aide in a cooler to help keep my daughter hydrated. In the winter, I bring hot coco in an insulated thermos to help her stay warm.
Hope that helps!
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