After marriage, you cannot legally file as single. Depending on your circumstances, you would file as "Married Filing Jointly", "Married Filing Separately", or "Head Of House Hold". If filing jointly, you must show both you and spouse's world-wide income. If filing jointly, foreign spouse must have either a SSN or ITIN. For a foreign spouse, you simply list the income. Be aware that there are certain exclusions for some foreign income. There is also FBAR requirements to consider in some cases. For those reasons, I suggest consulting a well-qualified tax advisor...especially the first year after the foreign spouse enters the US.
Good luck.