It could have this result but it doesn't necessarily would have this result. You can justify it either way, depending on your story.
- Say the colony is run along capitalist lines, but every adult has the right to claim a large plot of public land for development. As it happens, the adults at the time of the landing all claimed plots next to each other, in a good place for a capital city (good climate, good transportation, ...). The first hospital, the first university are built there. That makes the initial crew richer than the rest. What is worth more -- a square mile in Manhattan or a square mile in Montana? This could last a long time if the wealth of rich people is self-reinforcing.
- Or the crew find that their skills and work culture which where fine on a ship are simply not applicable to the planet. They and the children they raise become an underclass, not a nobility, while they struggle to fit in.