The word you are looking for is peruse. From dictionary.com:
Peruse has long meant “to read thoroughly” and is often used loosely when one could use the word read instead. Sometimes people use it to mean “to glance over, skim,” as in I only had a moment to peruse the manual quickly, but this usage is widely considered an error
You could also use 'browse':
- To inspect something leisurely and casually: browsed through the map collection for items of interest.
- To read something superficially by selecting passages at random: browsed through the report during lunch.
Carouse means something completely different:
- To engage in boisterous, drunken merrymaking.
- To drink excessively.
So, either peruse or browse would be appropriate. Carouse in it's proper meaning wouldn't make any sense in your sentence.