O.k. to make it short and sweet -its hard to tell what he gave you exactly:
Warm up - o.k. but did he determine your target heart and explain it to you?
Stretching - maybe - but you only need to stretch tight muscles before a workout - to stretch a normal length muscle makes it overly lengthend and weak. With no movement evaluation you will not know what to stretch
All machines - what a lame workout, this will definately lead to muscle imbalances, poor control and lack of coordinated movement! - as well as boredom (the good thing is that you will have plenty of company from the aerobics chicks who are terrified of free weights and the elderly - take a good look a the uncoordinted, unstable, slow moving people on most machines - you will be one very soon if you continue on this program)
20 min cardio post work out - o.k. but again what about target heart rate??
The rest is hard to decipher but it sounds like a cookie cutter, basic bodybuilding routine (a realy piss poor one). If you are happy with it , o.k. - but I would NOT pay for any more training from him. I would hire a qualified trainer (see my earlier post) or buy some good books & videos. - I think this bozo is absolutely clueless about training etc.
Of couse that is my opinion, but I believe that 2 Master's degrees in exercise science and sports perfromance and 7 national certifications, plus thousands of practical hours, training, lecturing, attending lectures & seminars, interning in cardiac rehab wards & physical therapy centers allows me to make that call.
I definately agree with Kevdog to watch how trainers train themselves in fact I mentioned this in my earlier posts. He is right that trainers are in "sales mode" - but in my gym we come from the idea that if money is not a concern (very affluent area) and I give you the best workout (we give 3 free sessions to each new member) you ever had and can show you what you need to improve and how to do it safely to reach your goals why wouldn't you sign up for more?
I have never had to ask a client if they were interested in personal training - they are all referred to me or ask me at the end of the 3rd session to arrange training.
Hope your workouts go well and keep posting questions that you have - that's what this board is here for!
Later!