Typewriter effect to multiple text rows in premier pro

In Ae, Apply Typewriter preset to your text, add "Source Text" property of your text layer to the "Essential Graphics" panel, then export your Ae composition as a Mogrt.

Import that Mogrt into Premiere Pro, and use it to do your typewriter animations.

Not possible within Premiere, in After effects, But You can add the typewriter preset from built-in presets in After Effects, and import the composition to Premiere Pro's timeline.

If you wish to add a text symbol Ex "|" "_" as a cursor to add flavor to your animation, you can try using this expression:
Paste to Source Text parameter

var sign = "|"; // change the blinking sign to "|"or "_"
var blinkInterval = 15; // edit the blinking interval in frames
// slider with text length
var i = effect("Text")("ADBE Slider Control-0001"); 
// checkbox to turn the cursor on and off 
var on = effect("On/Off")("ADBE Checkbox Control-0001"); 

var frames = timeToFrames(time);

var check = frames / blinkInterval;

if (on == 1) {
  if (i.valueAtTime(time + thisComp.frameDuration) > i) {  
    end = sign;
  } else {
    if (Math.floor(check) % 2 == 0) { 
      end = sign;
    } else {
      end = " ";
    }
  }
} else {
  end = " ";
}

text.sourceText.substr(0,parseInt(i)) + end; 

in-depth explanation here https://aejuice.com/blog/typing-text-with-cursor-after-effects
a shortcut to creating this cursor effect, is using an Essential Graphics template, Here's one that I use:
https://videohive.net/item/typewriter-custom-cursor/42859632

That is the way to do it in Pro. One line at a time.

The fast way is Ae.