• Hide Entire Calendar Tool Bar (CSS):
  Add this CSS to your Custom CSS section (Control Panel > Custom HTML & Script > Custom CSS > Full Custom CSS (if you are already using it) or CSS Additions to Standard (if you haven't added anything to the full custom css section).

.CalendarTopTools { display: none; }

• Hide just the view my upcoming events link & the Signup buttons in the event
  This link does have a CSS class associated with it, but for some reason it gets removed during the loading process, so it would be easiest to remove it with scripting. Add the following to your custom javascript seciton (Control Panel > Custom HTML & Script > Custom Javascript/JQuery > Additional Functions). Make sure you enable before saving.
  

  $(document).ready(function(){
    $('.gpWidget-calendar').find('input[id$=signupButton], input[id$=btnConfirmAllSignups], a[href*="calViewMyUpcoming"]').hide();
  })