That's a good start @Confuzzleduzzled but I think you need to plan out your pattern of workouts. Often people do what's called a "bro split." It's simple and will give you a sense of progress.
Or you could plan it out to cover a different area each session. So 4 days a week:
Leg day (twice) - a combination of squat, leg press, hip thrust, hamstring curls, adductors ...
Upper body day (once): bench press (you can use dumbbells), bicep curls, overhead press (altho' that could be in a push/pull day)
Push/pull day (or you can split that out): lat pull downs, sled (push & pull),
The important thing is to mix it up - if you do the same thing in the same order 3 times a week, your muscles will adapt, but they won't necessarily get strong. Your body needs variety to get fit - it's the cross-training effect (you know how you can swim kilometres, but if you suddenly switch to jogging, 200 metres puffs you out?)
There are loads of fitness coaches online who will give out basic free programmes. Have a look at Henley Fitness on Instagram - her speciality is working with total beginners with gym fear. I have a PT so don't so my own programming, but when I'm traveling or he's away., I use Stronger by the Day, programmed by MegSquats who is excellent. It isn't free, but it's only $US90 per year so it's v cheap. It's excellent, but focuses on strength & powerlifting so uses free weights & bar bells.
Try also to get comfortable with free weights, such as dumbbells and even bar bells! The weighted squat or the dumbbell thruster are both excellent full body compounds - if you go heavy enough with correct form on your squat, you'll get abs and quads and glutes of steel.
Does your gym do an induction? Ask at reception for a free intro to the weights and a bit of a guide as to a programme.
Keep records of what weights and how many sets/reps. I'd say once you get confident with going heavier, try 5 sets of 8 reps. The 7th and 8th rep should be almost impossible (ie finding your failure point). It's at the failure point that your muscles get strong!