What happens after I passed my ASVAB with a 34, but I have no line scores and no job, and my recruiter is sending me to do the physical?

The recruiter has probably already called the Recruiting Operations Center a few time already trying to see if he can get a line point exemption for any active duty jobs. The recruiter might also talk to you about the reserves, sometimes line point exemptions are easier with the reserves. Sending you to do your physical is important, there would be no point having you redo the ASVAB if you are physically disqualified. Sometimes the only way to get a line point exemption is to already be physical qualified.

Former Recruiter here!
Your recruiter is probably getting all the ducks in a row for processing purposes. You'll probably review job openings post completion of your physical. Don't be afraid to ask him/her any question at any step of the process.