Use the following commands to setup Hombrew as a standard user getting around needing sudo access for most packages.
NOTE: This still requires an admin to install Homebrew initially. After the ownership change, the standard user can use Homebrew moving forward.
/bin/bash -c "$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/HEAD/install.sh)"
# Replace "USERNAME" with the username of your user:
sudo chown -R USERNAME $(brew --prefix)/*
chmod u+w $(brew --prefix)/*
To install applications with a non-admin account, you'll need to install them in the user's home application directory instead of the global applications directory. This won't require sudo access. Replace "USERNAME" below.
brew cask install myapp --appdir=/Users/USERNAME/Applications