It is a strength routine, I was doing dumbbell squats and lifts and some barbell hip thrusts. He changed a couple of them, introducing a box to the squats as my knees weren't feeling too good and taking a box away for the hip thrusts as I struggled with getting the pivot movement right and had to reposition after each one.
We will be going over diet but he said he wanted to get me comfortable on the gym floor first which is a good way of easing me in but given how my bodies reached might need looking at. I know you guys are going to be a bit skeptical of PTs but I do think this one knows what he's doing.
If you are a beginner, strength is the right approach, however, it sounds like he might have you doing more accessory work vs the basic compound lifts.
I would suggest reading up on Starting Strength as a beginning routine - you can find more info there about it and on diet in the OP.
I believe it's paramount to not get too involved with accessory movements early on as you will want to build a strong foundation, first. Basically barbell: squats, bench, overhead press and deadlift.
If you need help with knee issues while squatting I would suggest adjusting your knee travel during a squat either outwards or inwards, based on how your feet are pointed. I have to have my feet fairly close and toes barely pointed outward maybe 10-15 degrees and bring my knees up to my nipples, quad pressing against my core and hamstrings on my calves at the bottom, then back up. This alleviates my knee issue and my hip issue. I do deads the same way with close footing.
But, yes, any trainer that shows you a myriad of exercises if you are a beginner will look like he knows what he's doing when the reality is for a beginner, stick with the core lifts and a starter program, then work your way into intermediate routines with more accessory work after a solid year of strength training.
Deads, squats, OHP will work your core and glutes, too. Not much hip thrusts needed for a beginner. Your glutes will make gains regardless as will your core, stabilizers and main muscle groups from your whole body. You can probably build a damn amazing body from just variants of those core lifts as they are your body's natural movements like standing up, lifting shit over your head, pushing shit away from you, lifting crap off the floor, etc.
That's just my .02 - if you are new, keep the workout plan simple, focus on strength and make diet your number 1 priority. You can work out all you want but food is what makes the body you want. You will be making "noob gains" with an improper diet but you'll hit a wall fairly fast. Supercharge the early stages with a tight diet plan, IMO, and stick to the basic lifts with a well-documented and time-tested program like Starting Strength and ignore the fluff exercises as a beginner.