I think the correct answer is that you do NOT 'get around' the drow's light sensitivity per se. If you find some way to negate the downsides of playing a drow, you lose a lot of the flavor of the character's race. keep in mind that there are racial advantages as well, which may offset the penalties if the story frequently takes the party into caves or other sunlight-less scenarios. If your story is going to take place mainly outdoors in the sunshine, your drow character will need to adapt his combat approach to compensate for the penalties.
That said, if you really want to allow drows in your group to get along without having to deal with this at all, you could engineer the campaign around some regional or world event: "A mysterious dark pall covers the land, blocking direct sunlight. The gray, shadowy days give way to nights of inpenetrable blackness, rendering the land easily inhabitable by all creatures of the darkness, including drow. A party of adventurers seeks to investigate the source of this land-killing curse..."
I'm not sure it is truly possible/advisable for a drow character to be able to get along without limitations in a 'normal world' though.
ETA: I see that I misunderstood the drift of the question. Luckily, others provided some ways to cope with the penalties as a player.