I disagree with this statement: "Understanding licenses isn't really an Open Source issue." Even for someone who understands the basic idea of the GPL, understanding the finer details of how the licence is intended to achieve this may be difficult, IMHO. For someone who doesn't understand the basic idea (and outside the world of GNU/Linux this is the norm), the GPL is undoubtedly even more confusing.
IMHO, the GPL would be easier to understand if it was arranged to list the rights it allows, and all the responsibilities associated with each right, something like as follows (numbers in braces refer to corresponding sections in the GPLv3):
Preamble
0. Definitions. [0, 1]
1. Receiving a Licence.
1.1. License grant is given upon receiving the Program. [10p0s0, 2p0s0, 11p0-2&7, 3p0]
a. License acceptance is implied by modifying or propagating. [9]
b. No warranty is provided, unless in writing for a fee. [15, 16, 17]
c. Additional liability disclaimers may apply. [7a]
d. Additional publicity restrictions may apply. [7d]
e. License adherence is not excused by other obligations. [12]
f. License termination may result from license breach. [8]
1.2. Additional permissions may apply. [7p0, 7p9s0-1, 14]
2. Using the Program.
2.1 Using the unmodified Program and fair use are unlimited. [2p0s1-3]
2.2 Making and using covered works is permitted. [2p1, 2p2s0]
3. Conveying Source.
3.1. Conveying verbatim copies of source is permitted. [4p0s0, 4p1]
a. Licensing restrictions may not be imposed. [10p0s1&p2, 2p2s1]
b. Patents, if they protect you, must protect everyone. [11p3-6]
c. Technical measures may not be enforced. [3p1]
d. Notices must be retained and made conspicuous. [4p0s0]
e. Additional names and marks terms may apply. [7e]
f. Additional liability indemnification terms may apply. [7f]
g. Transfer of control requires transfer of rights. [10p1]
3.2. Conveying modified source versions is permitted. [5p0s0 parts]
a. Above terms of Section 3.1 apply. [5p0s0 part]
b. Licensing must be available under this License. [5c, 7p1-2, 7p9s2]
c. Notices must be included and prominent. [5abd, 7p10-11]
d. Additional notices terms may apply. [7bc]
4. Conveying non-source forms is permitted. [6p0s0 part]
a. Above terms of Sections 3.1 and 3.2 apply. [6p0s0 part]
b. Source code must be made available. [6p0s0 part, 6p1-6, 6p11]
c. Installation information is required for User Products. [6p7-10]
5. Conveying Non-GPL Works.
5.1. Conveying linked Affero GPL works is permitted. [13]
5.2. Conveying aggregates is permitted. [5p5]
How to Apply this License