방법1 (ie 에는 안되는 방법 (woff2 지원 안함))
CSS에 아래 코드를 넣는다.

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@import url(//fonts.googleapis.com/earlyaccess/notosanskr.css);
 
 
body{
 font-family: 'Noto Sans KR', sans-serif!important;
	font-weight: 300!important;
	letter-spacing: -0.01em!important;
}
 
h1, h2, h3, h4, h5, h6{
font-family: 'Noto Sans KR', sans-serif!important;
font-weight: 700!important;	
	letter-spacing: -0.01em!important;
}

두께는 100, 300, 350, 400, 500, 700, 900

방법2
ie에서도 됨

아래 링크에서 폰트 다운 받고 서버에 올린 후 적용시킴

https://google-webfonts-helper.herokuapp.com/fonts/noto-sans-kr?subsets=korean,latin

아래 코드는 많이 쓰는 300, 400, 700만 적용

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/* noto-sans-kr-regular - latin_korean */
@font-face {
  font-family: 'Noto Sans KR';
  font-style: normal;
  font-weight: 400;
  src: url('../fonts/noto-sans-kr-v12-latin_korean-regular.eot'); /* IE9 Compat Modes */
  src: local('Noto Sans KR Regular'), local('NotoSansKR-Regular'),
       url('../fonts/noto-sans-kr-v12-latin_korean-regular.eot?#iefix') format('embedded-opentype'), /* IE6-IE8 */
       url('../fonts/noto-sans-kr-v12-latin_korean-regular.woff2') format('woff2'), /* Super Modern Browsers */
       url('../fonts/noto-sans-kr-v12-latin_korean-regular.woff') format('woff'), /* Modern Browsers */
       url('../fonts/noto-sans-kr-v12-latin_korean-regular.ttf') format('truetype'), /* Safari, Android, iOS */
       url('../fonts/noto-sans-kr-v12-latin_korean-regular.svg#NotoSansKR') format('svg'); /* Legacy iOS */
}
/* noto-sans-kr-500 - latin_korean */
@font-face {
  font-family: 'Noto Sans KR';
  font-style: normal;
  font-weight: 500;
  src: url('../fonts/noto-sans-kr-v12-latin_korean-500.eot'); /* IE9 Compat Modes */
  src: local('Noto Sans KR Medium'), local('NotoSansKR-Medium'),
       url('../fonts/noto-sans-kr-v12-latin_korean-500.eot?#iefix') format('embedded-opentype'), /* IE6-IE8 */
       url('../fonts/noto-sans-kr-v12-latin_korean-500.woff2') format('woff2'), /* Super Modern Browsers */
       url('../fonts/noto-sans-kr-v12-latin_korean-500.woff') format('woff'), /* Modern Browsers */
       url('../fonts/noto-sans-kr-v12-latin_korean-500.ttf') format('truetype'), /* Safari, Android, iOS */
       url('../fonts/noto-sans-kr-v12-latin_korean-500.svg#NotoSansKR') format('svg'); /* Legacy iOS */
}
/* noto-sans-kr-700 - latin_korean */
@font-face {
  font-family: 'Noto Sans KR';
  font-style: normal;
  font-weight: 700;
  src: url('../fonts/noto-sans-kr-v12-latin_korean-700.eot'); /* IE9 Compat Modes */
  src: local('Noto Sans KR Bold'), local('NotoSansKR-Bold'),
       url('../fonts/noto-sans-kr-v12-latin_korean-700.eot?#iefix') format('embedded-opentype'), /* IE6-IE8 */
       url('../fonts/noto-sans-kr-v12-latin_korean-700.woff2') format('woff2'), /* Super Modern Browsers */
       url('../fonts/noto-sans-kr-v12-latin_korean-700.woff') format('woff'), /* Modern Browsers */
       url('../fonts/noto-sans-kr-v12-latin_korean-700.ttf') format('truetype'), /* Safari, Android, iOS */
       url('../fonts/noto-sans-kr-v12-latin_korean-700.svg#NotoSansKR') format('svg'); /* Legacy iOS */
}
 
 
body{
 font-family: 'Noto Sans KR', sans-serif!important;
	font-weight: 300!important;
	letter-spacing: -0.01em!important;
}
 
h1, h2, h3, h4, h5, h6{
font-family: 'Noto Sans KR', sans-serif!important;
font-weight: 700!important;	
	letter-spacing: -0.01em!important;
}

참고 블로그 :

CSS / 인터넷 익스플로러(IE)에서 구글 웹폰트 사용하는 방법