Approximately 2-4 weeks after properly filing Form I-751, Petition to Remove Conditions on Residence, USCIS will send you Form I-797, Notice of Action to provide a receipt that that reviewing your petition. This receipt will also extend your permanent resident status for an additional year. So this is a very important document.
Within the following month, you will receive a notice for a biometrics appointment. This is generally a short appointment at a local USCIS office that includes gathering your fingerprints, photograph and signature. The biometrics information is used to perform and criminal background check and then create your new permanent resident card (green card).
In some cases you may be asked to attend an interview at USCIS with your spouse. Typically a decision is provided within a year. However, processing times do vary.
Upon approval, the immigrant spouse will receive an approval notice and then the 10-year green card in the mail.