I agree that it wouldn't make a drastic impact as far as any phenotypic sex characteristics are concerned (if your species is like humans are: not-particularly sexually dimorphic).

However, an interesting side-note is that the sex-determining gene (in humans it's the SRY-gene) will over time make the chromosome it is typically located on (in humans this is called the Y chromosome) smaller over millions of years of DNA replication because it won't have a duplicate of itself. This means that there are certain traits in other animals that you could potentially capitalize to round out your world-building:

-Female calico cats are able to express a mozaic of colors on their fur because they have (I believe the word is) co-dominant genes on their X chromosomes. In your world, this could happen with male cats (or your humans if you wanted them to be less similar to us).

-Male Peafowl are able to be more colorful for a very similar reason. The Victorians thought that Female birds were less colorful because they had to hide to protect their children, but there is a reality that they couldn't express as much color because of their chromosome count.

-Female birds tend to be larger than their male counterparts. Male mammals tend to be larger than female mammals. This could change your world, should it be factored in. The chromosome with the 'sex-determining gene' tends to be lumped with some advantageous genes regarding, height, muscularity, et cetera because only highly advantageous genes stay on the gradually-decaying sex-determining chromosome (ie. the Y chromosome in humans).

-Similar to the feature of color expression in female mammals and male birds, perception can be enhanced/damaged should genes be found on the sex-chromosomes. For example, in humans, the rare people who have 4 different kinds of color cones in their eyes (Red, Green, Yellow, and Blue) all have XX chromosomes and therefore tend to be female. On the flip side, Color blindness is much more common in males than in females, although if a female inherits color blindness from a carrier or afflicted mother and an afflicted father, she can be color blind. In your world this sex-based (dis)advantage would be flipped.

It's fancy stuff.

To conclude, your females would have live birth just fine. Your people could be as similar to us as you wanted, but if you want to have this important genetic feature, you may want to include some quirks in your world-building that would line up with what we already know.

It's all up to you though :) There are exceptions in nature to every trend I listed above.