Elaborating further on previous answers:
You can certainly ask, phrasing your request using usual conventions of courtesy:
Dear Professor Rodriguez,
My name is Clarinetist, and I am taking your XYZZ 123 course this semester. Because of [state your reasons here], I would like to start working through the assignments before the semester starts, or at least as early as possible. If this is something that would be possible for this course, would you be able to give me the assignments in advance?
If this is not possible, I understand.
If you have any other advice for a student in my situation, that would be helpful as well.
Note the line "If this is not possible, I understand". You should not only say this but also mean it - if the professor declines your request, respect that decision. Don't argue about it, and don't assume she has just refused in order to spite you.
Now. There are a number of possible problems with trying to do the assignments ahead. There is a risk that you could have to redo assignments, or finding out that the time you spent doing them ahead was wasted. You should only proceed if you are willing to accept those risks - do not blame the professor, and do not expect that she will: explicitly warn you about them, accept the work you did do, or offer you due date extensions. (One possible reason for the professor to decline to give you the assignments ahead is to avoid hard feelings that could result if/when you find yourself frustrated by these issues.)
She may not have decided yet what the assignments will be. This is very common, especially when a professor is teaching a course for the first time - many professors find it much easier to "play it by ear", and be able to adapt assignments to how the course goes, than to plan out the entire semester in advance.
She may change the assignments before they are given out to the class at large. You might complete an assignment and then find it is no longer assigned at all, and that what's actually due is something completely different. I repeat: if you are asking for access to assignments before the rest of the class, then this is your responsibility to deal with, and you shouldn't expect assignment adjustments, due date extensions, etc.
The assignments might depend on material that is only covered in lecture, and not discussed in the textbook. Maybe you can find this material somewhere else, maybe not.
Or it might appear that you can do them based on the textbook, but perhaps the lecture will explain that the textbook has an error, or use alternative definitions for words, or generally interpret the assignment in a different way than you thought. You may thus have to redo it.
Or there could be "dynamic" assignments that require information that doesn't even exist until after the lecture. "Analyze the data we collected in class on Tuesday." "Write an essay, incorporating points made by other students in Wednesday's class discussion."
Maybe it is possible to do the assignment based on the textbook and your previous knowledge, but after hearing the lecture you realize that you did it wrong, or could do it better. Then you have to redo it.
So in conclusion, even if the professor agrees, your plan may not be as successful as you hope, and may even take more of your time overall. As such, you may want to pay more attention to any "other advice for a student in my situation" that the professor may offer.