UK Caesarean - is baby with you in your hospital room?

So sorry if this is a weird question! I just can’t find any info on this.

When you’ve had a caesarean and have to stay in hospital for a couple of days, is the baby with you in your room as if you were at home, or do they take the baby away and only give her back to you when she needs fed?

Someone said they didn’t have their baby with them for the night just for feedings which is why im wondering. I really hope it’s possible to have the baby there as if you were at home. Thank you!