Thanks! I tried the most basic building command possible and it works well. Displaying the PDF on the right panel would be very nice but it's a start. For reference I used the following tasks.json:
{
"version": "0.1.0",
"command": "texify",
"isShellCommand": true,
"args": ["-p","${file}"],
"isBuildCommand": true,
"showOutput": "always"
}