How can I use years of summer landscaping income to break into a top IB BB

The money you have saved up is great, but I am not sure how much it can help you with recruiting past just buying courses. From my experience what matters more is your brand developed throughout college and how you present yourself on a resume. This includes school, GPA, extracurriculars (leadership positions held), finance-related clubs or competitions, internships in the field, etc. You could say that having money saved means you don’t have to work part-time jobs just for general living expenses which means more time for activities that can help you in the future. The fact that you are a sophomore and thinking about this is already a good start. Think about what excites you and try to get involved on campus if you aren't already. If your school has a student investment fund or finance club, join them. Leadership positions in these clubs also help with your resume. Also look for companies that hire students during the school year for part-time work.There are also sophomore summer programs some banks may have that you can apply to (not too familiar since I only did it junior year). Reach out to any alumni that work at banks you might want to work at, and if you don't have any just understand that it can be a numbers game.