You are waiving your right to have a Notice sent to you before the Landlord starts a court action to recover possession
In practice this means that if the landlord wants you out of the apartment quickly and has some grounds to use court action to force an eviction, he will be able to skip some notice period that the court would ordinarily require.
This clearly makes things more convenient for him and gives you less time to prepare to fight the action or prepare to move out.
You are also waiving your right to a Jury trial.
This also limits your options for fighting such a court action. At the very least it assures the landlord a speedier result, since jury trials take longer than other court hearings, and perhaps in your jurisdiction it would be deemed to make it harder to get a result in your favor.
Both terms exclusively benefit the landlord and disadvantage you. Whether it's normal probably depends on your jurisdiction and whether you can find alternative apartments that don't require the same concessions.
To what extent they would disadvantage you will also depend on your jurisdiction. If the court process for seeking eviction is especially generous towards tenants, you might feel confident of never giving a court a reason to grant an application to evict you. If the landlord could have a court evict you at the drop of a hat whenever he felt like using the apartment for something else, you might feel differently about agreeing to these waivers.