Marriage to a US citizen leads to Legal Permanent Residency. Only after you have been a LPR for 5 years (3 if basis is marriage to a US citizen) and the fulfilment of other requirements can one become a naturalized citizen. You need to read the USCIS website. For someone on H1B, you are very uninformed. If you have additional questions, I suggest that you consult a US immigration attorney. Studying full time on an H-1B visa is not generally possible. Many HR personnel are misinformed about US immigration laws.

