As far as I know you don't need a permit to dayhike the peak.
This is true of every Sierra peak except those accessed through the special Whitney Zone out of Whitney Portal.
"The mountain was named in 1878 by the Wheeler Survey for one of its members, J. H. Morgan, of Alabama. (Gudde, Place Names, 211; SCB 4, no. 4, June 1903: 290; USGS Bulletin 310, 161.) The mountain and creek are named on the first Mt. Goddard 30' map, 1912. The other names first appear on the 15-minute quads."
- Peter Browning, Place Names of the Sierra Nevada
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