Man, that's one nasty brake booster, pleas hit it with the wire brush and the rattle can before you install it

But yes, you will need a new master cylinder, reason is the stock pushrod is attached to the stock master cylinder just like the "new" one is attached to the brake booster. As I said, when you go to the store bring the booster with you to make sure you get the right master cylinder as the ones for vacuum and hydroboost look perfectly identical except for the depth of the slot in the master cylinder piston for the booster pushrod.
Also, notice how the vacuum assist booster has 6 holes on the bracket, the top ones you will not be using as the firewall behind them is solid - if you want you can drill and insert studs I guess, but tis not necessary. So from the stock firewall loosen the 4 nuts (two for the master cylinder, two below it covered in dirt and grease and grime), and the vacuum assist booster will slide right on the studs - reuse nuts and tighten them with a box wrench, a socket and ratchet will likely not fit because of the bracket's shape. From there on tis as simple as bolting up the new master cylinder, filling it up, bench bleeding it with the supplied kit, and bolting up the brake lines.