Some paths:
1. get a math degree in college and become a quant
2. apply for a job at a brokerage house, then take the classes to get a brokerage license
3. get a college degree in finance
4. get a college degree in accounting
The thing that makes trading a bit hard to enter is the interview process. A lot of firms test your mental math skills, so you really need to start in high school ideally and do UIL Number Sense (in Texas) or similar contests. Or spend some time freshman year practicing mental math and tricky probability questions. I didn't do this and fell behind and thus am not a trader but instead a SWE.
But a computer science degree is also an excellent backup in case you realize you don't want to do trading or aren't cut out for it.
Even new grad software engineers make 350+ at Jane Street, HRT and Citadel. You can easily verify this through levels.fyi. I didn't believe the data until some people I personally know who work here said its true. And of course traders who take on all the risk should have a much higher upside so their pay should be significantly more than 350.