I am almost positive that you can find a procedure to do this on SciFinder.
That aside, what I would do is do a selective oxidation on that primary alcohol (since that's the only primary alcohol) into an aldehyde, then use a hydride source (maybe DIBALH) so that it adds to the aldehyde to form the negatively charged oxygen species, which then you can do an esterification to the amino acid. Note you should turn the carboxylate group on the amino acid into an ester or an acyl chloride first.