Your new compiler will be at ~/gcc10/bin/gcc

gistfile1.txt

sudo apt install -y curl build-essential libgmp-dev libmpfr-dev libmpc-dev
mkdir /tmp/$$ && cd /tmp/$$
curl -s https://ftp.gnu.org/gnu/gcc/gcc-10.3.0/gcc-10.3.0.tar.xz | tar xJ
mkdir build && cd build
../gcc-10.3.0/configure --prefix=$HOME/gcc10 \
                        --disable-dependency-tracking \
                        --disable-nls \
                        --disable-multilib \
                        --enable-default-pie \
                        --enable-languages=c,c++
make -j$(nproc)
make install

https://gcc.gnu.org/wiki/InstallingGCC