There are many good universities here. Some of the the best known are: University of Sonora, Hermosillo Institute of Technology, University of Valle de Mexico and "Tecnologico de Monterrey". The University of Sonora has a very good school of foreign languages, where you can enroll for a moderate price to receive Spanish lessons.
Hit the trails
Mountain biking and hiking are very popular activities, and the area has many amazing trails to follow in the mountains around the city. the mix of desert and mountain give these trails a very nice touch. wild life is very interesting. you get to see from little lizards and roadrunners all around to big deer and coyotes, and if you're lucky you might be able to watch a bighorn sheep or even a rattlesnake not considered to be extremely lucky.
Visit downtown Hermosillo El Centro. In El Centro you will find many shops, selling anything you can think of. There are also food stands if you get hungry or thirsty. Be careful though, the streets in El Centro are always crowded, and traffic is heavy. Also the sidewalks are higher off the street level than you may be used to, this will be a difficult area to traverse if you are in a wheelchair, or have a baby carriage. A heavy police presence is maintained in the area due to its popularity, and constant crowds, help is never far away.