Low gravity speciation will never occur, leaving these humans effectively the same as modern humans, but there may still be some change in variance of genes that will can lead to their looking like a unique race
I almost didn't write this answer because It seemed like it would be dauntingly long to write. Then I decided to cheat by pointing you to a very similar answer of mine which covers most of the details already.
To clarify when I say speciation won't happen I'm referring to what you presumably mostly think of as evolution, that is the development of novel genes which spread through a gene pool until enough novel genes exists to make a population effectively a different species. I've already dug into this all in more detail in the linked question so here's the quick and dirty version of the reasoning:
- Evolution takes millions of years for novel adaptations to result in any substantial change in a species
- Our use of technology to adapt our environment to us will likely slow this process further because anything putting a large strain on human survival will result in our putting effort into finding an technological option for solving this problem removing that evolutionary pressure.
- Any intermingling of moon-humans with earth - or other heavy world - humans would result in mixed 'race' children and thus gene flow between the two groups further slowing any adaptation.
- Given the literally exponential rate at which technology grows and changes the need to evolve to handle Low G environments will be rendered moot too quickly for novel adaptations to have time to persist.
If you keep remotely true to how technology has developed in the past in a mere tens of thousands of years - barely a blink of the eye from an evolutionary perspective - there will no longer be a reason to adapt to low G environments. Rather it's moving to another world, genetic screening of newborns filtering out novel gene structures before they can be persisted, creation of artificial gravity - which may be as simple as the sci-fi staple of using centrifugal force to fake gravity, reaching some form of transhumanism, or just managing to wipe ourselves out something will have rendered biological adaptation to this world moot long before any meaningful genetic adaptations could evolve. I know it's a boring answer, but I'm afraid it's the only realistic one.
So what has changed?
Good news, that doesn't mean your low G humans can't look different, if only slightly. That's because development and spread of novel genes isn't the only way adaptation occurs, it can also be adjusting the distribution of existing genes already present in the gene pool. That is to say genes that already existed, but may not have been too common, in the human gene pool may prove useful enough in low-g environment resulting in these genes going from being rare to very common within your low-G human population. This process can take only a few dozen to hundred generations; depending on how significantly the gene increases survival and fitness in a low-G world.
This wouldn't make your low-G humans a different species, they would still look like a human, still able to procreate with earth based humans and live on earth; They are ultimately still human. However, it would mean that low-G humans may tend towards certain traits more then other humans, enough that there are certain expectations for low-G human appearance. In short low g humans would not be a new species but could become a new race of humans, a physical phenotype that allows you to say "that guy looks like he was born on a moon".
As to what these racial differences would be, I admit while being well versed in evolution I'm not versed enough on the biology and physics of low-gravity to feel as well equipped at speculating at which human traits would fair better in low gravity. I'd image a shorter and bulkier build with relatively lower muscle mass would be common. The shorter and bulkier build help tie you down to ground so you don't fly off into space with every step while the lower muscle mass is because there is no reason to waste energy on lots of muscles if you are insufficiently grounded to use that strength without shoving yourself away from whatever you are pushing on. That being said I think a question as to what existing human traits would be more useful in low-g may be worth asking in itself. My main point is that these difference will be minor, a slight redefining of which traits are more common not a completely different species.
I'd also add that if you have regular interactions with higher-g humans and gene flow with them this would slow the development of a standard racial trait with humans. regular gene flow can prevent any racial differences from developing or at least slow that tendency so drastically that low-g humans will barely have time to start developing their own racial traits before technological changes completely alter the pressures they face.
If you really want low-G humans to be different you can always cheat
Genetic engineering is always a great excuse to having humans change more rapidly then could be justified by mere evolution. And lucky for you there is already a question asking exactly what these genetically engineered humans would look like.