What do I do about a broken spoke. I'm still not very mechanically incline with my bike, but I've been using it for commuting and don't want to stop. It might be a while before I can get to the LBS because their hours and my work hours almost completely overlap, I might be able to get over there a half an hour before work, if that.

First: Can I ride down a spoke? The wheel doesn't appear to have un-trued enough to cause the wheel to rub on the brakes.

Also, should my lbs have spare spokes, and is this an easy DIY thing?

I just don't want to pay an arm and a leg for them to do it all.

Usually, yes. As long as the rim or tire isn't rubbing, you should be OK. It's better to loosen the spoke on the opposite side (near the broken spoke but attached to the other side of the hub) so it runs straighter. This will cause a hop in the rim, but it should still be rideable.

Your bike shop should have spare spokes, and the tools you need to accomplish the job. It's DIY-able, but how "easy" it is depends on your mechanical skill. Replacing the spoke is straightforward, but re-truing the wheel is a skill that takes practice. Some people pick it up fine, some people never do.

For reference here is their service price list:
https://www.thebicycleshopinc.com/00_pages/services.htm

I only need to make it till mid august, before I leave state college I want my bike tuned up and made ready for my series of challenge rides I have planned in August.

I don't know nuthin' about prices. I've been building and truing my own wheels for 30 years, so I have no frame of reference for pricing.

That said- you should be able to get by with one broken spoke by loosening the opposite side. However, if you break another spoke you should get the wheel to the bike shop ASAP. Multiple spoke breakage is a sign of spoke fatigue- once a couple go, several more are probably close.

I think their labor rates are very reasonable for what they are doing!
$20 to pull the wheel, remove the tire, replace the spoke, and true it.
I would not be putting your weight on a broken spoke because if you damage it further you may look at a rebuild.
JMO, and I have replaced spokes and built wheels but my experience is from long ago and maybe rims are beefier now.

How lucky are you normally?

You might be able to ride for a considerable length of time on one broken spoke or you may start breaking spokes left and right. I'm thinking that depending on a bike with a broken spoke for daily transportation for a whole month is a risk that I wouldn't take. Broken bikes never get better by themselves. They might get worse if they're not properly repaired.

Whether your local bike shop has the right replacement spoke in stock depends on exactly what kind of wheel it is. There are so many different wheels today with out-of-the-ordinary spokes that shops typically don't carry replacements for everything. Again, you might be lucky, maybe not.

If you were to bring your wheel for me to fix I would replace the broken spoke and check the ension of every single spoke on the wheel. I think that's the right way to do it. That's going to involve about 1/2 hour's work so I'd want $30.00 for the job. Doing anything less (replace the broken spoke and retrue the wheel) would be to return the wheel to the condition it was in prviously. What it was previously was a wheel that's about to break a spoke.

Riding on it is OK short term, but a month may be pushing it. OTOH it isn't necessarily going to create more issues, as long as your luck holds, so it's a bit of a coin toss.

I suggest you call the shop, explain your work situation and see if they can schedule the job for a fast turn around, within the next week or so rather than waiting. If your luck doesn't hold the wheel may worsen to the point that you can't ride it all then you'll be stranded. I also wouldn't try to compensate by loosening other spokes unless you're comfortable with aligning wheels. Transport you depend on for a living isn't the place to try to learn by trial and error.

If you can get from the shop to work, walking or by getting a lift from a friend, consider the possibility of locking the bike in front of the shop on your way to work and tossing the key through the mail slot, then picking it up on the way home, possibly using the same gimmick if you have 2 keys.

Bikes going to the shop tomorrow morning.