SOS deciding on 2 jobs!

Ke

Hey guys so I'm 18 and just graduated high school and cosmetology school and I now have my license in that, so I went job hunting and had an interview with a salon I thought I would love and couple weeks after the interview I came in to show them what I could do on a model. I wasn't getting paid for being there because I'm not officially in the system but the boss told me I have the job. I want to go check out and apply for this other salon I have interest in (the manager at this salon offered me a job there) but the boss from the first salon has asked me to come in for training and to get on boarded. My point is would it be wrong of me to apply for this other job and take it? Would that be rude, as if I wasted the fist bosses time?

I hope this made sense...