--if you find a match, there are instructions on the site on how to write for an applicant's Record Copy.
You can search ancestry.com's index of National Archives Micropublication #246, "Revolutionary War Rolls" listing Continental troops and a smattering of State and County units--they have a free trial period.There are likely to be several listings for a person by this fairly common name. If you find a match for name and state, you can use the number in the index to borrow the microfilm roll with that number within M-246 via your local library's Inter-Library Loan service to look at, or browse through the ancestry.com images of that microfilm roll to find the listing(s) for your person's name.
You can search on footnote.com for the Compiled Service Record for a person with your target person's name.The CSRs are a series of cards with data transcribed from the above microfilm group, arranged alphabetically within Regiment.Footnote.com also has a free trial.The site also has indexed images of complete Revolutionary War (Congressional) Pension Application files that you can search, with direct links to look at documents.
Your local library may also provide access to HeritageQuest, a web site that has a few selected pages from the Pension App. files.