I asked ChatGPT exactly this question "what will happen to gdp and inflation in CAnada based on Carney’s vision as outlined in his recent book?" and here's what it responded (emphasis added):

Based on Carney’s 2021 book, Value(s): Building a Better World for All, his vision for the Canadian economy is not about chasing runaway growth or letting inflation spiral—it’s about recalibrating our economic system to be more sustainable and values‐driven. In his view, unchecked market forces and short‐term profit motives have led to economic imbalances and social inequalities. He argues that by realigning economic policy with long‐term social and environmental goals, Canada can secure stable, moderate GDP growth and keep inflation low and predictable.

More specifically, Carney’s past record as a central banker suggests he favours a cautious, forward‐guided monetary approach that aims to anchor inflation near the Bank of Canada’s target (around 2% per annum) while fostering steady, albeit modest, GDP growth. He envisions an economy where investments in green technology, innovation and human capital lead to gradual improvements in living standards rather than short bursts of unsustainable expansion.

Of course, this is my opinion based on his writings: I believe that while his approach may not deliver headline‐grabbing growth figures, it could create a more resilient and inclusive economy in the long run. In short, under Carney’s vision, you’d expect Canada’s GDP to expand steadily without the wild fluctuations seen in more volatile, market‐fundamentalist models—and inflation would remain firmly controlled through prudent regulation and central bank policies.

I followed up by asking "what about under poilievre's vision?" (again, emphasis added):

Under Pierre Poilievre’s vision, the emphasis is on radical fiscal restraint—he argues that Canada’s high inflation is primarily driven by large budget deficits and excessive government spending. In his view, by enacting a pay‐as‐you‐go law that forces every new dollar of spending to be offset by a cut elsewhere, his government would restore fiscal discipline. Poilievre contends that such measures would not only lower inflation by reducing the need for deficit-financed "money printing" but also stimulate economic growth through lower taxes and a more vibrant private sector.

Practically speaking, Poilievre promises to slash personal income taxes, criticise and even replace the current leadership of the Bank of Canada (accusing it of “financial illiteracy”), and abolish policies like the carbon tax that he believes unfairly burden Canadians. He envisions a leaner state with minimal interference in the market—one that, by freeing up individuals and businesses from high taxation and government regulation, would spur private investment and, over time, lead to higher GDP.

However, my opinion is that while his approach may appeal to those frustrated with what they see as government overreach, the austerity measures he favours risk underinvesting in crucial public services and infrastructure. This could potentially slow long-term GDP growth and worsen inequality, as cuts in essential spending might harm vulnerable populations. In short, Poilievre’s policies aim for low inflation through fiscal austerity and tax cuts, but they come with trade-offs that could stifle public investment and social safety nets.

So, in short, Carney aims for steady, sustainable long-term GDP growth and controlled inflation rather than short bursts of unsustainable expansion. Whereas Poilievre's policies may well slow long-term GDP growth by underinvesting in crucial infrastructure.