"Alive" at that level just means they sustain themselves, and eventually self replicate.
Most (all?) cellular life on earth uses DNA at this point, however viruses and other "very simple" life forms can use RNA.
The simplest form of replication in cells is binary fission, which means the genetic material is duplicated and then the cell membrane splits in two. This is a pretty simple process in prokaryotes, they have a single circular chromosome, the strands pull to opposite ends and then the membrane pinches in the middle. It looks like this:
View attachment 1051030
Replication only requires a single enzyme called a polymerase, although it also needs a "primer" which is usually a small piece of RNA (so technically there might be a second enzyme to synthesize it, called a primase). It's the pulling apart that's harder and somewhat more complex. After uncoiling and replication the old and new DNA are pulled to opposite poles of the cell. Instead of the microtubules used in eukaryotic asters, these simple bacteria use a protein called FtsZ, which looks like this:
View attachment 1051031
It may look complicated, but it's really not, it has lots of repeating subunits. Anyway, it self assembles into a ring and pulls apart the coils of DNA. Then, the membrane contracts and closes, and then you have two identical cells. (There is no recombination in this process, the two strands of DNA are identical).
All together there are maybe half a dozen proteins in the whole process, which have to be encoded in the DNA. So to get from an RNA micelle to here is a pretty big step, it requires decades or maybe centuries of evolution. They have AI working on the evolutionary sequence even as we speak, the requirement being that simple forms of replication are maintained during the evolution.
The splitting of the membrane occurs when the FtsZ filaments tighten and ratchet against each other, much like the tubulin in our microtubules. This just happens when they run out of DNA to pull, the switchover is automatic
In eukaryotic cells this process becomes very complicated, involving asters and a spindle to line up and then separate the chromosome copies. But this simpler bacterial mechanism is used in chloroplasts and mitochondria too (except that our mitochondria use dynamin instead of FtsZ).
So, cell replication for even the simplest cell is non-trivial. Here's the thing though: cells don't "have to" replicate. They're perfectly happy living forever just as they are. However they tend to get eaten by bigger cells, which is one reason why they reproduce.
In a nutshell: sustainability is easy, replication is harder. If a cell has to replicate it needs to encoded at least half a dozen proteins in its DNA. It can do this over decades to centuries, by ingesting lots of small molecules and making bigger molecules out of them. The mechanism is currently being investigated.