Removal proceedings begin when the Department of Homeland Security files a Notice to Appear, Form I-862, with the immigration court after serving it on you. Receiving the document is not the same as the case being filed, and the date printed on it is not always the date you will actually be heard.
The judge decides one question first: whether you are removable. That means whether you fall under a ground of inadmissibility under INA section 212 or a ground of deportability under INA section 237. You are allowed to submit evidence on that question.
If the judge finds you removable, that is not automatically the end. At that point you are given the option of accepting an order of removal or applying for relief from removal. Which forms of relief you may be eligible for depends entirely on your history, your family, your entry, and your record, which is why a real review of your documents matters more than a general answer.
One practical thing decides a surprising number of cases: your address on file. Hearing notices go to the address EOIR has. If you move and do not update it, you may never learn about a hearing you are required to attend. Changes are filed on Form EOIR-33/IC, and EOIR explains the requirement in its immigration court guidance.