As the other answers have indicated, you need to use an anonymous type.
As far as syntax is concerned, I personally far prefer method chaining. The method chaining equivalent would be:-
var employee = _db.EMPLOYEEs
.Where(x => x.EMAIL == givenInfo || x.USER_NAME == givenInfo)
.Select(x => new { x.EMAIL, x.ID });
AFAIK, the declarative LINQ syntax is converted to a method call chain similar to this when it is compiled.
UPDATE
If you want the entire object, then you just have to omit the call to Select(), i.e.
var employee = _db.EMPLOYEEs
.Where(x => x.EMAIL == givenInfo || x.USER_NAME == givenInfo);