I would go with a firm like Total ski and book a package.
Find a resort you like the look of. Google and see if it says it’s good for beginners, though most resorts will have a decent beginners area. If you’re going in March the resort needs to be fairly high up. I’ve skied in March before and coming back into resort would be skiing over patches of grass in places and very slushy in the afternoon....that was Chamonix so quite low down.
Get your clothes before you go. Thermals from somewhere like Blacks. For March I’d get thermal tops, a thin fleece, mid weight fleece (wear one or the other depending on temp) ski jacket, ski trousers or salopettes. Gloves, hat. Sunglasses or goggles (possibly both, if it’s snowing you want goggles). I’d have my own helmet but think you can hire them. For March I wouldn’t get bottom half thermals. I’d just take some quick drying gym type leggings, but thicker ones. Ski socks!
If you go with a package company they will sort out your ski hire and also your lift passes. You either pay when you book or pay on the transfer bus. Same for lessons.And they will generally walk you up to the ski hire shop on the first afternoon. And bring your lift pass to the chalet.
If you don’t do a package you can just walk into a ski hire shop on the first day and sort your ski hire out. You can go to the lift office on the first morning and buy a lift pass. I would advise booking lessons before you go. Google for ski schools in that resort and email them.
I’m not very clued up on apres ski as tend to go to a catered chalet with free alcohol so just tend to eat and drink in the chalet. If you’re going on your own a catered chalet is good as everyone eats together on a few big tables and you will have people to chat to, possibly ski with. Oh pick a chalet quite close to the main lifts, walking in ski boots aint fun.