Here is some text from the wikipedia page of Neocaridina Davidi which is your shrimp. (bold format from me)
https://en.wikipedia.org/wiki/Neocaridina_davidi
About breeding:
N. davidi shrimp reach sexual maturity when they are around 4–6 months
old. Breeding only requires a sexed pair of shrimp, stable water
parameters, and a food source.[10] Eggs may be observed developing in
the female's ovaries as a green or yellow triangular "saddle" marking
on her back. When she is ready to lay the eggs, which occurs after
molting, she releases pheromones into the water to signal her
availability to males. The male shrimp in the tank will often become
agitated, swimming very actively about as they search for the source
of the pheromones. After a brief mating process, during which the male
deposits sperm onto the female's body, the female lays her eggs and
affixes them to her swimmerettes. The eggs are not fertilized within
the female; they are fertilized as they pass from the ovaries to the
outside of the body. Therefore, it is certain that any shrimp carrying
eggs has mated. A female carrying eggs under her abdomen is said to be
"berried".[citation needed]
Some report that young female shrimp carrying their first clutch of
eggs tend to drop some or all of the eggs, possibly due to
inexperience or small size.[11] If a berried shrimp is stressed by
predators or poor water conditions she may also abandon the eggs.[12]
So if the eggs are already under her "tail", fertilization already happened. The eggs still take some time to hatch. Be aware that a female shrimp that feels scared, vulnerable or inexperienced might drop the eggs. Being transported from petshop to home and entering a new aquarium can be stressful for shrimps and it's very possible that those first eggs can be abandonned. (it happened like this for me in the past) Bright lights, fast movements and loud sounds can also scare shrimps.
Many things matter with shrimp, safety and lots of cover and warmer water will help with breeding. Also plants and food and clean water. I advise you to google as much as you can about them. :)
PS: never put aquarium salt or anything containing copper (including medication or snail killers) in the shrimp tank
Hope that answered your question