as a g-4 visa holder one can apply for a green card as a special immigrant without substantial difficulty. the form is I-360. you have to meet residency requirements here in the US and physical presence. in the US while maintaining G status. also see 8 CFR 101.5(d) and consult counsel.
I agree with Mr. Calehr. Here is the link to the I-360 form: http://www.uscis.gov/files/form/i-360.pdf
All the best!
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I agree with my colleagues.
PROFESSOR OF IMMIGRATION LAW for over 10 years -- This blog posting is offered for informational purposes only. It does not constitute an attorney-client relationship. Also, keep in mind that this is an INTERNET BLOG. You should not rely on anything you read here to make decisions which impact on your life. Meet with an attorney, via Skype, or in person, to obtain competent personal and professional guidance.