You can achieve that with something like the following snippet:
public boolean urlEquals(Lab lab, String other){
try{
Field browsersField = Lab.class.getDeclaredField("browsers");
Object browsers = browsersField.get(lab);
Object browser = Array.get(browsers, 3);
Field urlField = Browser.class.getDeclaredField("url");
urlField.setAccessible(true);
Object url = urlField.get(browser);
return url.equals(other);
} catch(Exception e){ // probably catch specific exceptions than all
throw new IllegalStateException(e);
}
}