Railroads would have been running on wood until we ran out, ditto with steam ships.
Electric wind turbines would have become the major electric energy source very early on. Solar would still be 50-100 years off.
Bioethanol would have become a big thing before 1900, same energy content as coal, so maybe even before we ran out of tree. However as so much land area would be dedicated to growing bioethanol, the food glut we've had sine 1950 would not have occurred, so global population would be substantial smaller.