How to stop a Views block from displaying to administrators, such as user/1?
Below is an answer to what I think this question is really about, i.e. "I would like to not see it. Is there a way to stop it from displaying to admins?". And to make the challenge a bit tougher, not for a user with role "Administrator", but assuming "... you are talking of the user with ID equal to 1 ...".

My short answer to it is "Yes you can" ... read on for more details ...

Part 1: Rules block visibility

You should be able to get this to work using the Rules block visibility module. Here is a quote from its project page:


  The Rules block visibility module allows Rules components to be used to control block visibility. This provides Drupal administrators and developers extreme flexibility in controlling when blocks should be displayed on their websites, in addition to the default visibility options provided by Drupal.
  
  The general idea is that if you can do it with Rules, you can use it to control block visibility, so the possibilities are limitless:
  
  
  Need to show a block only for users registered more than a month ago?
  Perhaps you have a block that must be shown only between 8am-5pm on weekdays?
  What about displaying or hiding a block based on current weather conditions?
  
  
  All of this can be done by using Rules block visibility.


With that, and as per the "if you can do it with Rules, you can use it to control block visibility" above, you've reduced your question to making Rules intercept the actual user who's using the site, i.e. if it is YES or NO (a boolean, right?) the user with uid = 1.

Part 2: Create an appropriate Rules Component

The Rules block visibility module doesn't have a lot of documentation, except in the README.txt that comes with this module. Here is what the crucial part of it is (to get the idea):


  Configuration is done on a per-block basis. To control a block
  visibility using a rule component, go to the block settings page,
  scroll down to the "Rules" tab, and select the Rules component that
  you want to use.
  
  Notice that to be able to be used by this module, a Rules component
  must be constructed in a very specific way. See the next section for
  more information.


This module comes with 2 sample Rules Components, that should help to understand the KeepItSuperSimple concept behind it.

By looking at these samples, I was able to create another Rules Component which looks like so:

{ "rules_block_visibility_hide_block_for_user_1" : {
    "LABEL" : "Hide block for user 1",
    "PLUGIN" : "rule",
    "OWNER" : "rules",
    "REQUIRES" : [ "rules" ],
    "USES VARIABLES" : {
      "module" : { "label" : "Module", "type" : "text" },
      "delta" : { "label" : "Delta", "type" : "text" },
      "result" : { "label" : "Result", "type" : "boolean", "parameter" : false }
    },
    "IF" : [
      { "NOT data_is" : { "data" : [ "site:current-user:uid" ], "value" : "1" } }
    ],
    "DO" : [ { "data_set" : { "data" : [ "result" ], "value" : "1" } } ],
    "PROVIDES VARIABLES" : [ "result" ]
  }
}


You should be able to import this rule in your own environment.

What this Rules Component does is "only" return a boolean (1 or 0), based on the condition if the user's uid is YES or NO equal to 1.

With that, we're coming close to an actual answer to your question. But note that, as a variation, you could also have used a rules condition like "does this user yes or no have a role like administrator".

Part 3:

Head over to the "Block" settings for the block you want to hide for the user with uid = 1. At the bottom of it's settings, within the typical "Visibility settings", there is now (after you enabled the Rules block visibility module as in Part 1) an extra tab labeled "Rules". Using that tab will allow you to select a "Rules Component" that will do what's documented below that selection list field, ie: "Show this block only if the selected rule returns a positive value. Important: to be listed here, a block visibility rule must have specific parameters and return values.".

And guess what, in my case I just selected my Rules Component from Part 2

Notes:


It doesn't matter what type of block it is (created by a view, or something else), it works in all cases.
This answer applies to D7.