The following permissions are granted when the Metadata Search Permissions permission set is assigned:
Assigned Apps
Metadata Search (MetaDataSearch__Metadata_
Search_Lightning) Metadata Search (MetaDataSearch__Metadata_
Search)
Object Settings (Tab setting: Visible)
About Metadata Search
Metadata Search (lightning)
Metadata Search (classic)
Metadata Search List All
Apex Class Access
AboutController
AdvancedSearchCntl
AppStatusTrialRenewHeaderBarCo
ntroller AuthorizationUtility
authorizeServerPageController
metadataSearchController
SearchIndividualEntityControll
er SearchResultsController
Utility
Visualforce Page Access
About
AdvancedSearch
authorizeServerPage
metadatasearchClassic
MetadataSearchSidebar
SearchResults
SearchResultsEmail
SearchResultsExport
SearchResultsExportCSV
Custom Metadata Types
Connected App Setting
Custom Setting Definitions
Config Manager
User Session Setting
PS: If you need the complete list of all permissions to use Metadata Search, please check out the Which user permissions are needed in order to be able to use the Metadata Search? article.