Install build essentials.

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sudo apt install build-essential

Check which version of gcc and g++ is installed on your system:

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gcc -v  # or g++ -v

Suppose that your currently installed gcc and g++ version is 11, you should be able to find gcc-11 and g++-11 under “/usr/bin/”:

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ls /usr/bin
# All files under "/usr/bin" would be listd.

Now, install gcc-13 and g++-13, while keeping older version existed:

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# Install gcc-13 and g++-13
sudo add-apt-repository ppa:ubuntu-toolchain-r/test
sudo apt-get update
sudo apt-get install gcc-13 g++-13

# Register gcc-11 and g++-11 as one group of alternatives
sudo update-alternatives --install /usr/bin/gcc gcc /usr/bin/gcc-11 110 --slave /usr/bin/g++ g++ /usr/bin/g++-11

# Register gcc-13 and g++-13 as another group of alternatives
sudo update-alternatives --install /usr/bin/gcc gcc /usr/bin/gcc-13 130 --slave /usr/bin/g++ g++ /usr/bin/g++-13

# Pop a prompt to select the default version of gcc, and g++ would be updated automatically
sudo update-alternatives --config gcc

For general purpose of C++ programing, it is suggested that gcc-11 and g++-11 is installed on your system. Some softwares may have a strict rule for gcc version not larger than 12.