Something like this should get you started.
CSS:
.home div {
display: inline-block;
width: 50%;
}
.home a {
display: table-cell;
text-align:center;
vertical-align: middle;
}
HTML:
<div class="home">
<div><a href="https://wordpress.stackexchange.com/questions/211091/site.com"><img src="path-to-logo-1"></a></div>
<div><a href="site-two.com"><img src="path-to-logo-2"></a></div>
</div>
If it’s literally a single page site that only links off to two other sites, setting up WordPress for it is absolutely overkill. Download HTML5 Boilerplate or similar, stick something akin to the above into the HTML file and stuff it on the server.