After a partition is restored will the partition, folders, files and programs be fully accessible in Windows?

Yes, again assuming the MFT is healthy. Sometimes it is damaged in a slight way that we do not see, but Windows does.

If the files are not visible after recovering (which happens a small portion of the time) and they were visible to partition recovery, sometimes running chkdsk on the volume will fix it. In general, if ONLY the partition info was damaged, and the file structure was not corrupted, the entire file structure will be recovered.