Yes, the plant in the photo is purslane (Portulaca oleracea), an edible weed.

Afaik, purslane (Portulaca oleracea) shouldn't be milky. However, Spotted spurge (Euphorbia maculata), which though not a relative is aka Milk purslane, has a white latex sap. I wouldn't recommend anyone eating that!

Some folks who have allergic reactions to latex products also react to the latex produced by members of the Euphorbia clan (which includes Poinsettia, Snow on the mountain, the Firestick cactus, Mole plant, the Crotons, and Three-seeded Mercury -- a weed which would like to take over my pasture).

Here's some info about Milk purslane (known to my brother and me, years ago, as Spotted scourge rather than Spotted spurge, due to the difficulty of weeding it when it grew between flagstones):
http://ontariowildflowers.com/main/species.php?id=604

Great! Thank you very much for the information.

Yes, on ID! Now, how do I get rid of it! It's all over the place.
LOL!

I should have mentioned that Purslane is a succulent with fleshy stem and leaves, while Spotted spurge is most definitely not a succulent (its leaves are paper-thin).

Catspa, you probably saw Portulaca umbraticola for sale if plants were in the ornamental section. The leaves of that plant look just like purslane (P. oleracea) but the flowers are bigger, and come in other colors besides yellow.

Njoasis, if you cut the plants off at the soil surface, individually or with a weed trimmer (before there are ripe seeds,) you should have a reduction in their numbers next year. Purslane is an annual.

What is this weed?

thecoolstew - it would better if you started a new thread since this is a new topic and you have attached it to a 2 year old discussion. More people will look at new questions than will check into old ones.

For when somebody feels the need to look at this discussion in 5 or 7 years...

Thecoolstew's plant is Portulaca amilis:
http://garden.org/plants/view/205938/Paraguayan-Purslane-Portulaca-amilis/