Depends on the guy. I love when the girl texts me for the same reason a girl likes when the guy texts them. It shows your thinking about them. Now this is only good assuming you both like each other of course.
Personally I definitely like it. Before you are dating it shows that she is interested. Once you are dating it nice not to have to initialize every conversation. So as long as you arnt texting him non-stop then I see no reason why you shouldn't text him first.