Object Permissions for a Profile in Salesforce are stored in the ObjectPermissions Entity.
Sample SOQL:
SELECT sObjectType, PermissionsCreate, PermissionsRead, PermissionsEdit,
PermissionsDelete, PermissionsModifyAllRecords, PermissionsViewAllRecords
FROM ObjectPermissions
WHERE ParentId IN (
SELECT Id
FROM PermissionSet
WHERE PermissionSet.Profile.Name = 'System Administrator'
)
