As someone who has trimmed a lot of different horses, I wouldn't say it's ever "normal" for a horse to be sore after a trim. The only time it would be something I would expect to happen is if the horse had really thin soles or extremely weak feet and in that case I would recommend shoes or some other kind of protection until the feet improved. Of course you can sometimes misjudge and take a little too much or do something you find out later doesn't work for that horse but to cause a horse to be hopping lame means you either trimmed WAY too much off, or the horse has something going on with the feet.
Does the horse have any other signs of metabolic issues (cresty neck, fat pads, ridges in the feet/dished toes)? Did the farrier take out a lot of sole? Do you have boots for him? If so it might help to put them on him, maybe with some padding inside, if you don't have a soft place to put him. It is possible he could abscess later on from this incident so just be aware of that, nothing to be done about it really except to try to protect his feet as well as you can from bruising until they can grow out a bit.
Trimming interval can play into this too - sometimes if horses go too long between trims they can be more prone to ouchy feet when they do get trimmed just because it's such a big change. So whether you have to learn to do them yourself, or just keep farrier shopping, especially when you're trying to correct an issue like long toes, it's good to take less off at a time but at more frequent intervals. However, again, I would not say it's normal for a horse to be hopping lame after any trim. A farrier at a clinic I attended told me about a feral pony he trimmed that had been turned out for years with no hoof care, he used a Sawzall to lop off 6 inches of toe, rounded everything off as best he could (I doubt the pony stood very well) and the pony took off bucking and farting and happy as could be after.