It depends on what @ruilviana means by "Mini". If it's the retired and rarely seen Arduino Mini, then it appears that it does ship with the same Optiboot bootloader as the Uno:
However, if it's the ubiquitous Pro Mini, then it ships with a significantly different bootloader:
The biggest problem with this "ATmegaBOOT" bootloader is that it causes the microcontroller to go into an endless reset loop if your sketch uses a watchdog reset:
Optiboot handles watchdog resets fine.
The other problem is that the "ATmegaBOOT" bootloader requires a 2 kB boot section, whereas Optiboot fits in 0.5 kB boot section. So using Optiboot allows you to free up 1.5 kB of precious flash memory, while also actually having superior functionality. Cool stuff!
Despite this, for some mysterious reason the Mini's fuses are set for a 2 kB boot section
even more mysterious, the IDE is configured to fail compilation if the sketch exceeds 28 kB of flash memory, as if the board had a 4 kB boot section:
Anyway, missdrew is correct in saying that the Uno's bootloader can be used on the Mini (or Pro Mini), and I would recommend that advanced users do this. For less advanced users, I would recommend just sticking with the bootloader you have now until such time as it causes you a problem because the bootloader burning process is very challenging for less advanced users. Many thousands of people are happily using boards with the "ATmegaBOOT" bootloader, while many less than that are impacted by the resulting reduced flash memory and inability to use the watchdog reset.