Sarah,
You won't be able to sex your frogs until they are mature. If it trills this spring it's male. Females of this species will not call (except when in severe distress) and some males are less vocal than others so this is not foolproof. Eventually the females will prove larger than the male counterparts, but that's not foolproof wither, since a runt female may appear to be a male.
Your regular lightbulb is fine since they don't need any heat at all. You don't say which species this is but both Hyla chrysoscelis and H. versicolor are temperate rather than tropical, so they can handle a wider temperature range than your house will have. The light is just to define day from night.
And in the event that he/she decides to brumate you won't need light at all. It's not likely in such a young frog, but sometimes even though they are in a nice warm home (relative to outdoor temps) they will burrow under the substrate, stop eating, and not come out for months. In case your frog does do this, this year or next, you will want to continue to provide clean fresh water but move the tank to a cool room. 50F/10C degrees is ideal. This is to assist the frog in his quest to rest his metabolism. You shouldn't never initiate or force brumation, but if the frog decides to do it, just assist this way.
Henry Capobianco