License compatibility is a one-way street, so we ought to phrase statements about license compatibility very precisely: So for two licenses X and Y, we are interested if “X-licensed code can be used in Y-licensed software”.
Can I use GPL-licensed code in Apache-licensed software?
For all versions of the GPL and the Apache License: GPL-licensed code cannot be used in Apache-licensed projects. This is because the GPL is a copyleft license that requires the resulting work to be published under the same license as the original work. So it is impossible to base an Apache licensed work on a GPL-licensed work (any version). For the GPLv1, this is clear from section 2.b):
You may [distribute modifications], provided that you also do the following:
b) cause [any work that partially or completely contains the Program] to be licensed […] under the terms of this General Public License […].
So you cannot take GPLv1 code, modify it, and publish the modified version under any different license.
Can I use Apache-licensed code in GPL-licensed software?
The other direction is a bit more differentiated. Because the Apache licenses are permissive licenses, they can be used with any other license that satisfies the terms of the Apache license. However, the Apache License 2 contains a patent license that complicates things. That is what your quote is about: according to the FSF, Apache-2-licensed code cannot be used in GPLv2-licensed projects. If it were possible to use Apache-2 code under the GPLv2, that would “forget” about the Apache-2 license's patent terms which is not possible. With the GPLv3 this point has been made compatible by adding relevant terms, so you can use Apache-2-licensed code in a GPLv3-licensed project.
To be clear about the understanding of the quote: it talks about the “patent termination and indemnification provisions” of the Apache-2 license, and “the older GPL license” refers to the GPLv2. So you can't use Apache-2-licensed code because the GPLv2 does not contain equivalent terms to the Apache 2 license. It makes no statement about the GPLv1. The patent terms were not added in the GPLv2, but in the GPLv3 and the Apache 2 license.