Will Entity Framework and/or Linq-To-SQL queries show up as "Adhoc Queries" in SSMS' "Server Dashboard" Report?
Yes. Linq-To-Sql and EF submit dynamic (Ad-Hoc) queries to the database. You can prove this by running a profiler trace and debugging the app. 

The good news is that you'll always get the most up-to-date query plan, based on current statistics. The bad news is that the plan will have to be compiled on each execution. This is rarely good, and only when the query commonly returns varying amounts of data.

I see this every day. Developer Bob is more concerned with RAD (kicking the app out the door and looking like a rock star) than app performance. He uses this new, bleeding edge, auto-magical sql generation code tool. Queries are fast from the app because there's only 2500 records in the database and everything fits in memory. 12 months down the road, app volume has went up 100000 %, it's now super dog slow, and the db gets blamed. The solution is to either re-write the app with proper sql or throw hardware at the problem. In my opinion, auto-magical sql insures that your' app will not scale well with significant volume. 

"Dynamic code generation is the fastest way to build slow SQL and the slowest way to build fast SQL. " Brent Ozar

Your biggest challenge is not in compiled code speed. It's in your ability to efficiently read and parse datasets which do not fit in memory.