After graduation, enter a 2-year ABA-certified paralegal training program. Many community colleges offer it. Law firms & corporations hiring paralegals rarely consider applicants without a bachelor's degree anymore. It's an excellent idea to take English Composition class as they want people with excellent language skills, especially writing skills. Perfect grammar, spelling, punctuation, etc, is expected in all your written work, and paralegals have to draft a wide array of documents: correspondence, briefs, case summaries, deposition summaries, reports, petitions, court documents.
In addition to your bachelor's degree, then earn paralegal certification from an ABA-certified 2-year program, generally available at many community colleges.