If you're going to run Arch then you should really stick with being comfortable with the CLI. There's no telling when something will break the upstream GUI packages, or something wont load on boot and you're stuck in single user mode.
> I'm limited by my phone atm, but does this thing have a GUI?
apt has synaptic
Using Arch I'm in love with Pacman and AUR, and apt and the other package managers are great/just fine too. They aren't exactly hard to learn so the only way I see Homebrew being needed is if it provides a great GUI with more accessible depth compared to existing alternatives.