For precocious puberty, yes. Although there are side effects, so it's not "as before" - but puberty does proceed once the medication is stopped.
But where puberty blockers are given to children with gender dysphoria, there is no puberty. If they go on to take cross sex hormones, they stay on the blockers as well, until their body has gone past the natural window of puberty.
It's a physical impossibility to have the puberty of the opposite sex. All you get is a mimicry:
Females who take blockers at tanner stage 2 then testosterone will go through menopause. Their wombs will atrophy. The testosterone will lengthen their vocal chords and change hair follicle on their face and chest, but it won't lead to a widening of the larynx or sperm production. There is no "male puberty" happening here.
Boys who take blockers at tanner stage 2 then oestrogen will get fat redistribution around their hips and will grow breast tissue. But their pelvis bone won't widen and they won't get periods. There is no "female puberty" happening here.
Once each child has missed the natural window of puberty - the only puberty they could ever go through - forever, the puberty blockers will be stopped. Their brains will then attempt to complete some of the important pubertal development that continues until approx age 25. However, their brain is on catch-up because that development was blocked for years at the most crucial time, when the adolesent emotional re-wiring was supposed to have taken place. But didn't. Nobody knows the impact of this on the brain because nobody has researched it and shared their results. Even the NHS and Helen Webberley admit this. However, what we do know for certain is that a child who doesn't go through puberty will be infertile.
So it's just one giant medical experiment without any data analysis. Johanna Olsen-Kennedy is currently refusing to publish the results of her 9 year puberty blocker experiment and the NHS is recruiting for a new one. The idea that we should permanently impact someone's brain development, render them infertile and then track their life progress is Mengele territory. One small thing in his favour though is that he published the results of his inhumane experiments. Perhaps the NHS will do so with theirs too, if they ever get ethics approval for doing them and the clinical trials commence. I assume Johanna Olsen-Kennedy will continue to refuse to publish hers.
Or to put it another way:
'We must not publish a study that says we're harming children because people who say we're harming children will use the study as evidence that we're harming children, which might make it difficult for us to continue harming children.'
https://x.com/jk_rowling/status/1849207760463757564?t=Am2siZSQtzfBCmhhTssCfw&s=19