After being granted asylum in the U.S., you can apply for a Green Card one year later by filing Form I-485. Once you submit the application, it usually takes about 12 to 24 months for USCIS to process it and approve your Green Card. However, delays can happen depending on factors like USCIS backlogs, additional security checks, or the specific service center handling your case. So, in total, it typically takes 1 to 2 years from asylum approval to receive your Green Card, assuming everything goes smoothly.