In the short term, very little changes in your daily life. The apps on your phone will not rename themselves, and companies outside government can call their products what they like.
Where you may notice it is in official communication: government websites, press releases, safety guidance and possibly federal contracts. If you follow AI policy, it helps to know that Super Intelligence in a federal document now usually just means AI, not the far-future technology the word used to describe.
The bigger question is the policy behind the name. Trump’s stance favors faster development, more data centers and less industry self-regulation. Whether Congress adopts the new term, or the lighter-touch approach that comes with it, is the next thing to watch.