After a bit more fiddling around I found FileInformation, an undocumented function which takes a file name as an argument.
FileInformation[FindFile["myPackage"]]` returns
{AbsoluteFileName->/absolute/path/to/myPackage.wl, BlockCount->24, BlockSize->4096, ByteCount->8474, CreationDate->Thu 17 Oct 2019 11:06:04GMT-4., Device->16777220, DirectoryName->$HOME/Library/Mathematica/Applications, FileAttributes->Missing[NotAvailable], FileBaseName->myPackage,FileExtension->wl, FileName->$HOME/Library/Mathematica/Applications/myPackage.wl, FileType->File, GID->20, GroupName->Missing[NotAvailable], Inode->28731823, LastAccessDate->Wed 23 Oct 2019 18:16:13GMT-4., LastModificationDate->Wed 23 Oct 2019 18:16:10GMT-4., LinkCount->1, OwnerName->Missing[NotAvailable], RawByteCount->12288, SetGroupID->False, SetUserID->False, Sticky->False, UID->501, UnixPermissionsCode->0660, UnixPermissionsString->-rw-rw----}
where I replaced my home directory with $HOME and the true readlink path with /absolute/path/to/myPackage.wl for privacy. CreationDate, LastAccessDate, and LastModificationDate are DateObjects, all the left-hand sides of the rules are "strings", and the right-hand sides are integers, strings, etc.
SO, what I was looking for was "AbsoluteFileName"/.FileInformation[FindFile["myPackage"]]`