There are differences but they are pretty subtle. The main variable will be the carbon to mineral ratio. In softwoods like pine and fir, this will be higher. Hardwoods like oak, willow, and citrus will have slightly higher
ash content and a correspondingly higher pH. But it's not nearly as big as the difference between biochar made from woody feedstocks versus that made from things like
straw or cornstalks, bamboo, manure, etc.
One thing that you will discover is that soft woods make soft biochar, and hard woods make tough stuff. Really does show up at crushing time!