It would appear any US laws, regulations, or government directives that may have been created in accordance with the Paris agreement weren't tied officially to the agreement. So any changes to those would require separate action by the president and/or congress.
For example, this Newsweek article provides an example of Trump promising to make a separate effort to roll back specific regulations regarding clean energy:
The president has already signaled, via a March executive order, that he will scrap the Clean Power Plan, a regulation enacted under his Democratic predecessor to curb carbon emissions from electric power plants. The Clean Power Plan, which was already on hold pending the results of a court challenge from Republican governors, was central to President Barack Obama’s plan for meeting the emissions reductions the United States pledged as part of the Paris agreement, which updated the United Nations Framework Convention on Climate Change.
I can't find any specific law, regulation, or directive that was set up to be automatically null and void if we pulled out of the Paris Agreement.
As an aside, there may be indirect pros and cons:
Are there any tangible immediate or forecast impacts that are a direct result of the US withdrawal from the accords?
On a tangible level, it's gotten many state and city governments in the US to support it outspokenly including...
30 mayors, three governors, more than 80 university presidents and more than 100 businesses
Ironically(?) it's gotten China--feared as the next big contributor to global warming--to cut agreement directly with California to continue with the paris agreement:
Tuesday's agreement between California and China's Ministry of Science and Technology effectively sidestepped Trump's move, bringing about alignment on an issue of rising global importance between the world's second-largest economy — China — and California, whose economy is the largest of any U.S. state and the sixth largest in the world.
Some pundits are claiming that in terms of global commitment, Trump's decision may actually improve things as other countries decide to step up just to spite us:
Pulling out of the Paris agreement is virtually all about symbolism. There's no legal justification, there's no practical justification for actually removing ourselves from the treaty. What are we signaling and are we having influence on other countries? What's been really interesting to see is that not a single country has pulled back their commitment to the Paris accords. We've actually seen countries like India and China and also the E.U. doubling down on their commitments. So it's having a reverse effect. It's making other nations feel even more committed.
Other pundits speculate that this may give a boost short-term to US oil and coal industries, but cost us in the long term as the globe shifts to renewable energy sources:
Leaving the Paris agreement jeopardizes the U.S.'s ability to be a global leader in new clean technology developments and sell those insights to a world hungry for cheap energy, experts say.
But we're getting into speculation and punditry at that point. I don't think we can say what will actually happen until it does.