If I conquer Targon's Peak with Ivern and change the battlefield to a brush at the end of my turn will I still ready 2 runes for the conquer?

Yes, you will still ready up to 2 runes.

According to RiftJudge FAQ #9525, triggered abilities are independent of their source once they have triggered and been placed on the chain.

Why this works:

1. Triggering: When you conquer Targon's Peak, the ability "When you conquer here..." triggers. At that moment, the condition is met and the delayed effect is created.
2. Independence: Once the ability has triggered and successfully created a delayed effect, it no longer requires the source (Targon's Peak) to remain in play. Even if you replace the battlefield with a Brush token using Green Father, the delayed effect remains active.
3. Resolution: The delayed effect is scheduled to occur at the end of the turn regardless of whether the original battlefield was replaced.

As long as you successfully conquered the battlefield during your turn, you will ready the runes at the end of the turn.