Getting 35K for PvPers is achieved by doing what they do all the time, PvP
Getting 35K for PvEers must include doing content at less than level cap as there is no other way to get that much.
as for easy, depends what you can get groups for and if you can log on every single day, the PvE one is highly dependant on getting on every single day to do the heroics and daily missions.
To my knowledge not a single one of the PvP objectives in this particular conquest at least are daily reliant ?
Now I suck at PvP, and am not massive fan in any game but I tried it out last night.
In one evening in my usual game time I managed 23 PvP matches of various types, thats 6500 just for playing them plus I happened to of course do the GSF weekly for another thousand.
and of course you not only get 500 for a GSF but a further thousand for every 10 wins too.