You cannot acquire resume materials about the other applicants except in the course of a legal action. But these materials would not prove your contention in any event. The law does not require an employer to hire the "best qualified" candidate. The law does not even define the "best qualified" -- by experience or by any other criteria. A candidate with no work experience whatsoever can be hired by the employer as the best candidate based on other factors: potential, appearance, attitude, versatility, personal relationship, family connection -- and many many more.
Your legal right is to be free from denial of employment because of your age. But that does not mean -- and can be a long way from -- being legally entitled to be hired based on experience, training, education, or any other specific criteria that you assume is the operative indicator of "qualified." The person who puts up the capital is the one who gets to decide what are the elements of qualified and best qualified.
The exception to these principles is in public agency employment. In public employment, it is generally the case (for at least most of the workforce) that the qualifying criteria have been decided in advance and published as measures that the employer is required to utilize in choosing the "best" candidate.
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I don't think you can legally require an employer to give you someone else's resume. Consult with an employment lawyer about possible age discrimination. Try the Find A Lawyer tab on Avvo.
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If you feel you were the victim of age discrimination arrange a free consultation with an experienced and highly rated employment attorney in your area.
This answer does not constitute legal advice and you should contact an attorney to confirm or research further any statements made in this answer. Any statements of fact or law I have made in this answer pertain solely to New York State and should not be relied upon in any way in any other jurisdiction.