To the Gra one has an obligation to get through the whole oral and written law. [Old Testament, two Talmuds, the midrashei halacha and midrashei agada.] This clearly implies the fast sort of learning mentioned in the Gemara, ''Always one should be saying the words in order and going on [גורס] even though he forgets and even though he does not know what he is saying,'' [Tractate Shabat and Avoda Zara--i forget the page numbers.] However that is second in priority to learning in depth. So to accomplish that, I recommend getting through the basic Achronim: Reb Chaim of Brisk and his two students (1) the Birchat Shmuel, (2) Shimon Skophf and the Avi Ezri. [There are also the early Achronim that I used to learn--the Pnei Yehoshua and the Aruch La'Ner which are very important.]
[I am saying to do this on one' own, but if possible it is also worth while to learn from a Litvish Rosh Yeshiva. I had such an opportunity [Reb Shmuel Berenbaum at the Mir in NY and Naftali Yeager at Shar Yashuv.] but I realize not everyone has this possibility, and so at least one should do so on one' s own. ] [the mir was along the lines of reb chaim of brisk while naftali yegear is more along the lines of the early achronim. ]
The Gra also held with the importance of the Seven Wisdoms, and said that, ''One who lacks any knowledge in the seven wisdoms will lack in Torah a hundred fold more.'' [That refers to the trivium and quadrivium][Grammar, logic, and rhetoric, Arithmetic, Geometry, Astronomy, Music]
Philosophy is not a part of this. However the Rambam held with a different set of the things one should learn,--Old Testament, the Yad HaChazaka, Physics and Metaphysics.
[Learning Torah is the highest of all commandments, however to the Rambam, learning Physics and Metaphysics is considered to be part of the commandment to learn Gemara/Talmud. ] [Metaphysics is the name of a book of collected lectures from Aristotle.] ]