I'd leave it in the container that it's in for the time being. They can take full sun but you don't want it to burn. I'd leave it where it is and get a small grow light. I'd allow the soil to dry some between waterings. More indoor plants are killed from overwatering then anything else but you might want to mist the foliage every few days to reduce the chance of infestation of spider mites, mealy bugs, etc which thrive in dry conditions. Make sure it's not sitting in a saucer of water. I'd feed it with a balanced fertilizer monthly. I've been told that potassium increases blooms and I dig a small amount of chopped banana peels ito the soil. For all I know it might just be the organic matter that helps.

Yeah, I agree with poster above. Since it is so small now leave it in its container till it gets bigger. Personally I think it will do better in full sun, but wait till it gets about a foot to foot and half high. That being said. Passiflora caerulea is a super hardy plant ie., taking the sun and heat and one of the cold hardiest of passifloras. I have one growing outside on a east facing wall at here in AZ. It grows like a weed. The only thing that keeps it in check are the Frutillary catepillars.

@ karyn1, Thanks for the advice. What type of grow light would you suggest? I'm kinda looking for something a little on the cheaper side and not too big either. I could keep my options open I guess by just looking for a specific watt?

Since it's only 1 plant I'd go with something small (single bulb) and inexpensive. You don't need a high wattage for a single plant what you are more interested in is the light spectrum the bulb provides. You can probably find something at a nursery or even a Home Depot. I use HID lights but I don't see why you'd invest in something like that for a single plant. I know people that use fluorescent shop lights with good results. I've never tried that and would think that a grow light would be better. Some lights used for salt water aquariums (mainly for corals) are good but can be pricey. Here's a link to a grow light guide that might be helpful.

Here is a link that might be useful: grow light guide

My poor little plant seems miserable. The leaves are yellowing and even the unbloomed flowers are starting to fall off. I haven't watered it since i got it given the soil seems moist but it's been raining the past few days so it hasn't gotten much sun either. I ordered one of those small clamp CFL fixtures with a 42 watt bulb with the more red light spectrum to encourage flowering since from what I've read these vines can be a bit resistant. Hopefully it gets here soon and my plant perks up. :(