I own a 382, basically the same boat. Yes, get a survey, always get a survey. It is an old boat, expect that it may need lots of work
The Morgan 38x are well build boats. I have nearly circumnavigated, from SF, to the East coast
, stopped by Covid and will continue this year. The holding tank can begin to leak into the bilge if it is blocked incorrectly during haulout. Mine is fine, but if it happens the fix is to seal it and install a tank in a new location. Otherwise the keel is very tough, not likely to have any damage from a grounding etc. Blistering doesn't seem to be a big issue. The hull is foam cored above the waterline, solid below the waterline. The decks are plywood
There is a group, www.morgan38.org
that is a great source of information. Pretty much anything that can go wrong with these boats has been addressed there. Get the survey, and share the results there and you will be in good shape.