Today is pretty much the longest day in the northern hemisphere, but there isn't much difference between today and tomorrow. "Solstice" comes from the Latin and means the Sun standing still. If you plot the position of the Sun at the same time each day around the time of the solstice, it seems to stand still for a few days.
Here is a half-year
analemma taken between April 2 - September 16, 2012. There isn't a picture for every day, as there are only 17 photos.
The solstice was on June 20 and is at the top left. The one to the right of it was taken on June 6 and you can see that there's not much change in apparent altitude.
By the way, if you enlarge the picture and look very closely at the June 6 Sun, there is a little black dot. That's how we know the date - this was Venus transiting the Sun.
Image Credit (and lots of credit, as this is a brilliant analemma!): Tunç Tezel (TWAN)