Well, let's find out!
First, I'll ask Wolfram Alpha what the average mass of a star is.
(1.65x10^29 to 2.983x10^32) kg
Then I'll ask it how many stars are in the observable universe.
7x10^22
We'll ignore planets and asteroids and such, as these are mere rounding errors compared to stars and the estimate for average star mass has a large range already. Multiplying these two terms gives us an estimate of the mass of the observable universe.
(1.155x10^52 to 2.088x10^55) kg
Now we need to know what the radius of the observable universe is, so I ask that.
4.4x10^23 km
We know from Schwartzchild that if you put enough mass in a tight enough space, it forms a black hole. The formula is:
r = 2 G M / c^2
So the radius of (1.155x10^52 to 2.088x10^55) kg is... oh look, Wolfram Alpha has a helpful little box to set the mass. I don't even have to do dimensional analysis.
1.715x10^22 km forms a black hole at the lightest end of our range estimate for stellar masses. 3.101x10^25 km forms a black hole at the heaviest end of our range estimate. The observable universe has 4.4x10^23 km. And remember, this method of estimation excludes anything that isn't a star, as well as energy, charge, and any angular momentum.
I find it unsettling how exactly in the middle of that range we are. I suspect the universe is a black hole, and the radius of the observable universe is exactly what we should expect if it were the event horizon of a black hole with the mass of the observable universe. The big bang would thus be the event horizon we came in through, an event horizon which the speed of light is insufficient to approach.